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Finding the Fourth Proportional to 1,577.61, 2,367.63 and 712.53

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Solution

The fourth proportional to 1,577.61, 2,367.63 and 712.53 is: 1,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.61 : 2,367.63 = 712.53 : x
  2. Step 2: Convert to fraction form
    1,577.61/2,367.63 = 712.53/x
  3. Step 3: Cross multiply
    1,577.61x = 2,367.63 × 712.53
  4. Step 4: Simplify right side
    1,577.61x = 1,687,007.40
  5. Step 5: Solve for x
    x = 1,687,007.40/1,577.61
  6. Step 6: Final answer
    x = 1,069.34

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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.