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Finding the Fourth Proportional to 652.66, 898.41 and 564.10

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Solution

The fourth proportional to 652.66, 898.41 and 564.10 is: 776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.66 : 898.41 = 564.10 : x
  2. Step 2: Convert to fraction form
    652.66/898.41 = 564.10/x
  3. Step 3: Cross multiply
    652.66x = 898.41 × 564.10
  4. Step 4: Simplify right side
    652.66x = 506,793.08
  5. Step 5: Solve for x
    x = 506,793.08/652.66
  6. Step 6: Final answer
    x = 776.50

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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.