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Finding the Fourth Proportional to 1,101.41, 1,652.28 and 476.88

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Solution

The fourth proportional to 1,101.41, 1,652.28 and 476.88 is: 715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.41 : 1,652.28 = 476.88 : x
  2. Step 2: Convert to fraction form
    1,101.41/1,652.28 = 476.88/x
  3. Step 3: Cross multiply
    1,101.41x = 1,652.28 × 476.88
  4. Step 4: Simplify right side
    1,101.41x = 787,931.30
  5. Step 5: Solve for x
    x = 787,931.30/1,101.41
  6. Step 6: Final answer
    x = 715.39

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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.