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Finding the Fourth Proportional to 652.52, 898.26 and 504.87

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Solution

The fourth proportional to 652.52, 898.26 and 504.87 is: 695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 898.26 = 504.87 : x
  2. Step 2: Convert to fraction form
    652.52/898.26 = 504.87/x
  3. Step 3: Cross multiply
    652.52x = 898.26 × 504.87
  4. Step 4: Simplify right side
    652.52x = 453,504.53
  5. Step 5: Solve for x
    x = 453,504.53/652.52
  6. Step 6: Final answer
    x = 695.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.