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Finding the Fourth Proportional to 964.04, 1,329.12 and 614.60

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Solution

The fourth proportional to 964.04, 1,329.12 and 614.60 is: 847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.04 : 1,329.12 = 614.60 : x
  2. Step 2: Convert to fraction form
    964.04/1,329.12 = 614.60/x
  3. Step 3: Cross multiply
    964.04x = 1,329.12 × 614.60
  4. Step 4: Simplify right side
    964.04x = 816,877.15
  5. Step 5: Solve for x
    x = 816,877.15/964.04
  6. Step 6: Final answer
    x = 847.35

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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.