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Finding the Fourth Proportional to 870.14, 1,200.76 and 477.16

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Solution

The fourth proportional to 870.14, 1,200.76 and 477.16 is: 658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.14 : 1,200.76 = 477.16 : x
  2. Step 2: Convert to fraction form
    870.14/1,200.76 = 477.16/x
  3. Step 3: Cross multiply
    870.14x = 1,200.76 × 477.16
  4. Step 4: Simplify right side
    870.14x = 572,954.64
  5. Step 5: Solve for x
    x = 572,954.64/870.14
  6. Step 6: Final answer
    x = 658.46

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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.