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Finding the Fourth Proportional to 867.79, 1,302.04 and 457.32

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Solution

The fourth proportional to 867.79, 1,302.04 and 457.32 is: 686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.79 : 1,302.04 = 457.32 : x
  2. Step 2: Convert to fraction form
    867.79/1,302.04 = 457.32/x
  3. Step 3: Cross multiply
    867.79x = 1,302.04 × 457.32
  4. Step 4: Simplify right side
    867.79x = 595,448.93
  5. Step 5: Solve for x
    x = 595,448.93/867.79
  6. Step 6: Final answer
    x = 686.17

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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.