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Finding the Fourth Proportional to 652.20, 977.08 and 560.04

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Solution

The fourth proportional to 652.20, 977.08 and 560.04 is: 839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.20 : 977.08 = 560.04 : x
  2. Step 2: Convert to fraction form
    652.20/977.08 = 560.04/x
  3. Step 3: Cross multiply
    652.20x = 977.08 × 560.04
  4. Step 4: Simplify right side
    652.20x = 547,203.88
  5. Step 5: Solve for x
    x = 547,203.88/652.20
  6. Step 6: Final answer
    x = 839.01

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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.