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Finding the Fourth Proportional to 1,114.48, 1,671.45 and 465.22

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Solution

The fourth proportional to 1,114.48, 1,671.45 and 465.22 is: 697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.48 : 1,671.45 = 465.22 : x
  2. Step 2: Convert to fraction form
    1,114.48/1,671.45 = 465.22/x
  3. Step 3: Cross multiply
    1,114.48x = 1,671.45 × 465.22
  4. Step 4: Simplify right side
    1,114.48x = 777,591.97
  5. Step 5: Solve for x
    x = 777,591.97/1,114.48
  6. Step 6: Final answer
    x = 697.72

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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.