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Finding the Fourth Proportional to 647.40, 964.38 and 591.24

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Solution

The fourth proportional to 647.40, 964.38 and 591.24 is: 880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.40 : 964.38 = 591.24 : x
  2. Step 2: Convert to fraction form
    647.40/964.38 = 591.24/x
  3. Step 3: Cross multiply
    647.40x = 964.38 × 591.24
  4. Step 4: Simplify right side
    647.40x = 570,180.03
  5. Step 5: Solve for x
    x = 570,180.03/647.40
  6. Step 6: Final answer
    x = 880.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.