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Finding the Fourth Proportional to 767.04, 1,149.68 and 585.24

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Solution

The fourth proportional to 767.04, 1,149.68 and 585.24 is: 877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.04 : 1,149.68 = 585.24 : x
  2. Step 2: Convert to fraction form
    767.04/1,149.68 = 585.24/x
  3. Step 3: Cross multiply
    767.04x = 1,149.68 × 585.24
  4. Step 4: Simplify right side
    767.04x = 672,838.72
  5. Step 5: Solve for x
    x = 672,838.72/767.04
  6. Step 6: Final answer
    x = 877.19

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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.