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Finding the Fourth Proportional to 964.80, 1,445.76 and 477.30

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Solution

The fourth proportional to 964.80, 1,445.76 and 477.30 is: 715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.80 : 1,445.76 = 477.30 : x
  2. Step 2: Convert to fraction form
    964.80/1,445.76 = 477.30/x
  3. Step 3: Cross multiply
    964.80x = 1,445.76 × 477.30
  4. Step 4: Simplify right side
    964.80x = 690,061.25
  5. Step 5: Solve for x
    x = 690,061.25/964.80
  6. Step 6: Final answer
    x = 715.24

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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.