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Finding the Fourth Proportional to 740.28, 1,020.60 and 530.76

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Solution

The fourth proportional to 740.28, 1,020.60 and 530.76 is: 731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.28 : 1,020.60 = 530.76 : x
  2. Step 2: Convert to fraction form
    740.28/1,020.60 = 530.76/x
  3. Step 3: Cross multiply
    740.28x = 1,020.60 × 530.76
  4. Step 4: Simplify right side
    740.28x = 541,693.66
  5. Step 5: Solve for x
    x = 541,693.66/740.28
  6. Step 6: Final answer
    x = 731.74

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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.