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Finding the Fourth Proportional to 864.53, 1,296.30 and 590.95

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Solution

The fourth proportional to 864.53, 1,296.30 and 590.95 is: 886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.53 : 1,296.30 = 590.95 : x
  2. Step 2: Convert to fraction form
    864.53/1,296.30 = 590.95/x
  3. Step 3: Cross multiply
    864.53x = 1,296.30 × 590.95
  4. Step 4: Simplify right side
    864.53x = 766,042.00
  5. Step 5: Solve for x
    x = 766,042.00/864.53
  6. Step 6: Final answer
    x = 886.08

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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.