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Finding the Fourth Proportional to 869.84, 1,200.32 and 476.89

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Solution

The fourth proportional to 869.84, 1,200.32 and 476.89 is: 658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.84 : 1,200.32 = 476.89 : x
  2. Step 2: Convert to fraction form
    869.84/1,200.32 = 476.89/x
  3. Step 3: Cross multiply
    869.84x = 1,200.32 × 476.89
  4. Step 4: Simplify right side
    869.84x = 572,417.01
  5. Step 5: Solve for x
    x = 572,417.01/869.84
  6. Step 6: Final answer
    x = 658.07

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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.