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Finding the Fourth Proportional to 701.19, 1,054.11 and 497.24

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Solution

The fourth proportional to 701.19, 1,054.11 and 497.24 is: 747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.19 : 1,054.11 = 497.24 : x
  2. Step 2: Convert to fraction form
    701.19/1,054.11 = 497.24/x
  3. Step 3: Cross multiply
    701.19x = 1,054.11 × 497.24
  4. Step 4: Simplify right side
    701.19x = 524,146.20
  5. Step 5: Solve for x
    x = 524,146.20/701.19
  6. Step 6: Final answer
    x = 747.51

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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.