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Finding the Fourth Proportional to 716.01, 1,074.36 and 497.31

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Solution

The fourth proportional to 716.01, 1,074.36 and 497.31 is: 746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.01 : 1,074.36 = 497.31 : x
  2. Step 2: Convert to fraction form
    716.01/1,074.36 = 497.31/x
  3. Step 3: Cross multiply
    716.01x = 1,074.36 × 497.31
  4. Step 4: Simplify right side
    716.01x = 534,296.87
  5. Step 5: Solve for x
    x = 534,296.87/716.01
  6. Step 6: Final answer
    x = 746.21

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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.