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Finding the Fourth Proportional to 929.20, 1,282.02 and 530.86

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Solution

The fourth proportional to 929.20, 1,282.02 and 530.86 is: 732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.20 : 1,282.02 = 530.86 : x
  2. Step 2: Convert to fraction form
    929.20/1,282.02 = 530.86/x
  3. Step 3: Cross multiply
    929.20x = 1,282.02 × 530.86
  4. Step 4: Simplify right side
    929.20x = 680,573.14
  5. Step 5: Solve for x
    x = 680,573.14/929.20
  6. Step 6: Final answer
    x = 732.43

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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.