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Finding the Fourth Proportional to 661.20, 911.88 and 530.16

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Solution

The fourth proportional to 661.20, 911.88 and 530.16 is: 731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.20 : 911.88 = 530.16 : x
  2. Step 2: Convert to fraction form
    661.20/911.88 = 530.16/x
  3. Step 3: Cross multiply
    661.20x = 911.88 × 530.16
  4. Step 4: Simplify right side
    661.20x = 483,442.30
  5. Step 5: Solve for x
    x = 483,442.30/661.20
  6. Step 6: Final answer
    x = 731.16

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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.