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Finding the Fourth Proportional to 652.30, 899.56 and 577.71

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Solution

The fourth proportional to 652.30, 899.56 and 577.71 is: 796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.30 : 899.56 = 577.71 : x
  2. Step 2: Convert to fraction form
    652.30/899.56 = 577.71/x
  3. Step 3: Cross multiply
    652.30x = 899.56 × 577.71
  4. Step 4: Simplify right side
    652.30x = 519,684.81
  5. Step 5: Solve for x
    x = 519,684.81/652.30
  6. Step 6: Final answer
    x = 796.70

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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.