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Finding the Fourth Proportional to 867.86, 1,298.55 and 502.82

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Solution

The fourth proportional to 867.86, 1,298.55 and 502.82 is: 752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.86 : 1,298.55 = 502.82 : x
  2. Step 2: Convert to fraction form
    867.86/1,298.55 = 502.82/x
  3. Step 3: Cross multiply
    867.86x = 1,298.55 × 502.82
  4. Step 4: Simplify right side
    867.86x = 652,936.91
  5. Step 5: Solve for x
    x = 652,936.91/867.86
  6. Step 6: Final answer
    x = 752.35

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