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Finding the Fourth Proportional to 1,058.76, 1,461.60 and 705.27

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Solution

The fourth proportional to 1,058.76, 1,461.60 and 705.27 is: 973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.76 : 1,461.60 = 705.27 : x
  2. Step 2: Convert to fraction form
    1,058.76/1,461.60 = 705.27/x
  3. Step 3: Cross multiply
    1,058.76x = 1,461.60 × 705.27
  4. Step 4: Simplify right side
    1,058.76x = 1,030,822.63
  5. Step 5: Solve for x
    x = 1,030,822.63/1,058.76
  6. Step 6: Final answer
    x = 973.61

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.