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Finding the Fourth Proportional to 1,147.64, 1,721.88 and 378.14

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Solution

The fourth proportional to 1,147.64, 1,721.88 and 378.14 is: 567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.64 : 1,721.88 = 378.14 : x
  2. Step 2: Convert to fraction form
    1,147.64/1,721.88 = 378.14/x
  3. Step 3: Cross multiply
    1,147.64x = 1,721.88 × 378.14
  4. Step 4: Simplify right side
    1,147.64x = 651,111.70
  5. Step 5: Solve for x
    x = 651,111.70/1,147.64
  6. Step 6: Final answer
    x = 567.35

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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.