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Finding the Fourth Proportional to 758.76, 1,047.62 and 497.22

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Solution

The fourth proportional to 758.76, 1,047.62 and 497.22 is: 686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.76 : 1,047.62 = 497.22 : x
  2. Step 2: Convert to fraction form
    758.76/1,047.62 = 497.22/x
  3. Step 3: Cross multiply
    758.76x = 1,047.62 × 497.22
  4. Step 4: Simplify right side
    758.76x = 520,897.62
  5. Step 5: Solve for x
    x = 520,897.62/758.76
  6. Step 6: Final answer
    x = 686.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.