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Finding the Fourth Proportional to 738.52, 1,018.98 and 476.49

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Solution

The fourth proportional to 738.52, 1,018.98 and 476.49 is: 657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.52 : 1,018.98 = 476.49 : x
  2. Step 2: Convert to fraction form
    738.52/1,018.98 = 476.49/x
  3. Step 3: Cross multiply
    738.52x = 1,018.98 × 476.49
  4. Step 4: Simplify right side
    738.52x = 485,533.78
  5. Step 5: Solve for x
    x = 485,533.78/738.52
  6. Step 6: Final answer
    x = 657.44

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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.