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Finding the Fourth Proportional to 942.27, 1,411.60 and 530.16

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Solution

The fourth proportional to 942.27, 1,411.60 and 530.16 is: 794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.27 : 1,411.60 = 530.16 : x
  2. Step 2: Convert to fraction form
    942.27/1,411.60 = 530.16/x
  3. Step 3: Cross multiply
    942.27x = 1,411.60 × 530.16
  4. Step 4: Simplify right side
    942.27x = 748,373.86
  5. Step 5: Solve for x
    x = 748,373.86/942.27
  6. Step 6: Final answer
    x = 794.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.