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Finding the Fourth Proportional to 876.47, 1,208.55 and 596.87

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Solution

The fourth proportional to 876.47, 1,208.55 and 596.87 is: 823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.47 : 1,208.55 = 596.87 : x
  2. Step 2: Convert to fraction form
    876.47/1,208.55 = 596.87/x
  3. Step 3: Cross multiply
    876.47x = 1,208.55 × 596.87
  4. Step 4: Simplify right side
    876.47x = 721,341.20
  5. Step 5: Solve for x
    x = 721,341.20/876.47
  6. Step 6: Final answer
    x = 823.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.