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Finding the Fourth Proportional to 1,147.57, 1,721.93 and 454.74

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Solution

The fourth proportional to 1,147.57, 1,721.93 and 454.74 is: 682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.57 : 1,721.93 = 454.74 : x
  2. Step 2: Convert to fraction form
    1,147.57/1,721.93 = 454.74/x
  3. Step 3: Cross multiply
    1,147.57x = 1,721.93 × 454.74
  4. Step 4: Simplify right side
    1,147.57x = 783,030.45
  5. Step 5: Solve for x
    x = 783,030.45/1,147.57
  6. Step 6: Final answer
    x = 682.34

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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.