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Finding the Fourth Proportional to 910.12, 1,255.80 and 537.16

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Solution

The fourth proportional to 910.12, 1,255.80 and 537.16 is: 741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.12 : 1,255.80 = 537.16 : x
  2. Step 2: Convert to fraction form
    910.12/1,255.80 = 537.16/x
  3. Step 3: Cross multiply
    910.12x = 1,255.80 × 537.16
  4. Step 4: Simplify right side
    910.12x = 674,565.53
  5. Step 5: Solve for x
    x = 674,565.53/910.12
  6. Step 6: Final answer
    x = 741.18

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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.