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Finding the Fourth Proportional to 1,746.06, 2,619.60 and 705.52

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Solution

The fourth proportional to 1,746.06, 2,619.60 and 705.52 is: 1,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.06 : 2,619.60 = 705.52 : x
  2. Step 2: Convert to fraction form
    1,746.06/2,619.60 = 705.52/x
  3. Step 3: Cross multiply
    1,746.06x = 2,619.60 × 705.52
  4. Step 4: Simplify right side
    1,746.06x = 1,848,180.82
  5. Step 5: Solve for x
    x = 1,848,180.82/1,746.06
  6. Step 6: Final answer
    x = 1,058.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.