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Finding the Fourth Proportional to 1,031.90, 1,423.53 and 751.70

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Solution

The fourth proportional to 1,031.90, 1,423.53 and 751.70 is: 1,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.90 : 1,423.53 = 751.70 : x
  2. Step 2: Convert to fraction form
    1,031.90/1,423.53 = 751.70/x
  3. Step 3: Cross multiply
    1,031.90x = 1,423.53 × 751.70
  4. Step 4: Simplify right side
    1,031.90x = 1,070,067.50
  5. Step 5: Solve for x
    x = 1,070,067.50/1,031.90
  6. Step 6: Final answer
    x = 1,036.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.