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Finding the Fourth Proportional to 647.68, 968.40 and 557.44

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Solution

The fourth proportional to 647.68, 968.40 and 557.44 is: 833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.68 : 968.40 = 557.44 : x
  2. Step 2: Convert to fraction form
    647.68/968.40 = 557.44/x
  3. Step 3: Cross multiply
    647.68x = 968.40 × 557.44
  4. Step 4: Simplify right side
    647.68x = 539,824.90
  5. Step 5: Solve for x
    x = 539,824.90/647.68
  6. Step 6: Final answer
    x = 833.47

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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.