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Finding the Fourth Proportional to 1,159.08, 1,600.36 and 766.92

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Solution

The fourth proportional to 1,159.08, 1,600.36 and 766.92 is: 1,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.08 : 1,600.36 = 766.92 : x
  2. Step 2: Convert to fraction form
    1,159.08/1,600.36 = 766.92/x
  3. Step 3: Cross multiply
    1,159.08x = 1,600.36 × 766.92
  4. Step 4: Simplify right side
    1,159.08x = 1,227,348.09
  5. Step 5: Solve for x
    x = 1,227,348.09/1,159.08
  6. Step 6: Final answer
    x = 1,058.90

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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.