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Finding the Fourth Proportional to 1,031.63, 1,423.64 and 565.88

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Solution

The fourth proportional to 1,031.63, 1,423.64 and 565.88 is: 780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.63 : 1,423.64 = 565.88 : x
  2. Step 2: Convert to fraction form
    1,031.63/1,423.64 = 565.88/x
  3. Step 3: Cross multiply
    1,031.63x = 1,423.64 × 565.88
  4. Step 4: Simplify right side
    1,031.63x = 805,603.70
  5. Step 5: Solve for x
    x = 805,603.70/1,031.63
  6. Step 6: Final answer
    x = 780.91

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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.