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Finding the Fourth Proportional to 1,807.98, 2,711.85 and 712.53

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Solution

The fourth proportional to 1,807.98, 2,711.85 and 712.53 is: 1,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.98 : 2,711.85 = 712.53 : x
  2. Step 2: Convert to fraction form
    1,807.98/2,711.85 = 712.53/x
  3. Step 3: Cross multiply
    1,807.98x = 2,711.85 × 712.53
  4. Step 4: Simplify right side
    1,807.98x = 1,932,274.48
  5. Step 5: Solve for x
    x = 1,932,274.48/1,807.98
  6. Step 6: Final answer
    x = 1,068.75

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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.