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Finding the Fourth Proportional to 1,502.72, 2,253.77 and 577.96

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Solution

The fourth proportional to 1,502.72, 2,253.77 and 577.96 is: 866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.72 : 2,253.77 = 577.96 : x
  2. Step 2: Convert to fraction form
    1,502.72/2,253.77 = 577.96/x
  3. Step 3: Cross multiply
    1,502.72x = 2,253.77 × 577.96
  4. Step 4: Simplify right side
    1,502.72x = 1,302,582.55
  5. Step 5: Solve for x
    x = 1,302,582.55/1,502.72
  6. Step 6: Final answer
    x = 866.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.