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Finding the Fourth Proportional to 867.04, 1,300.97 and 502.14

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Solution

The fourth proportional to 867.04, 1,300.97 and 502.14 is: 753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.04 : 1,300.97 = 502.14 : x
  2. Step 2: Convert to fraction form
    867.04/1,300.97 = 502.14/x
  3. Step 3: Cross multiply
    867.04x = 1,300.97 × 502.14
  4. Step 4: Simplify right side
    867.04x = 653,269.08
  5. Step 5: Solve for x
    x = 653,269.08/867.04
  6. Step 6: Final answer
    x = 753.45

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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.