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Finding the Fourth Proportional to 1,101.06, 1,651.76 and 476.53

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Solution

The fourth proportional to 1,101.06, 1,651.76 and 476.53 is: 714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.06 : 1,651.76 = 476.53 : x
  2. Step 2: Convert to fraction form
    1,101.06/1,651.76 = 476.53/x
  3. Step 3: Cross multiply
    1,101.06x = 1,651.76 × 476.53
  4. Step 4: Simplify right side
    1,101.06x = 787,102.55
  5. Step 5: Solve for x
    x = 787,102.55/1,101.06
  6. Step 6: Final answer
    x = 714.86

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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.