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Finding the Fourth Proportional to 652.36, 899.62 and 527.94

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Solution

The fourth proportional to 652.36, 899.62 and 527.94 is: 728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.36 : 899.62 = 527.94 : x
  2. Step 2: Convert to fraction form
    652.36/899.62 = 527.94/x
  3. Step 3: Cross multiply
    652.36x = 899.62 × 527.94
  4. Step 4: Simplify right side
    652.36x = 474,945.38
  5. Step 5: Solve for x
    x = 474,945.38/652.36
  6. Step 6: Final answer
    x = 728.04

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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.