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Finding the Fourth Proportional to 1,114.52, 1,671.78 and 465.26

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Solution

The fourth proportional to 1,114.52, 1,671.78 and 465.26 is: 697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.52 : 1,671.78 = 465.26 : x
  2. Step 2: Convert to fraction form
    1,114.52/1,671.78 = 465.26/x
  3. Step 3: Cross multiply
    1,114.52x = 1,671.78 × 465.26
  4. Step 4: Simplify right side
    1,114.52x = 777,812.36
  5. Step 5: Solve for x
    x = 777,812.36/1,114.52
  6. Step 6: Final answer
    x = 697.89

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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.