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Finding the Fourth Proportional to 1,114.71, 1,671.35 and 952.71

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Solution

The fourth proportional to 1,114.71, 1,671.35 and 952.71 is: 1,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.71 : 1,671.35 = 952.71 : x
  2. Step 2: Convert to fraction form
    1,114.71/1,671.35 = 952.71/x
  3. Step 3: Cross multiply
    1,114.71x = 1,671.35 × 952.71
  4. Step 4: Simplify right side
    1,114.71x = 1,592,307.09
  5. Step 5: Solve for x
    x = 1,592,307.09/1,114.71
  6. Step 6: Final answer
    x = 1,428.45

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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.