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Finding the Fourth Proportional to 610.04, 910.60 and 537.14

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Solution

The fourth proportional to 610.04, 910.60 and 537.14 is: 801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.04 : 910.60 = 537.14 : x
  2. Step 2: Convert to fraction form
    610.04/910.60 = 537.14/x
  3. Step 3: Cross multiply
    610.04x = 910.60 × 537.14
  4. Step 4: Simplify right side
    610.04x = 489,119.68
  5. Step 5: Solve for x
    x = 489,119.68/610.04
  6. Step 6: Final answer
    x = 801.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.