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Finding the Fourth Proportional to 1,031.68, 1,423.74 and 565.93

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Solution

The fourth proportional to 1,031.68, 1,423.74 and 565.93 is: 781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.68 : 1,423.74 = 565.93 : x
  2. Step 2: Convert to fraction form
    1,031.68/1,423.74 = 565.93/x
  3. Step 3: Cross multiply
    1,031.68x = 1,423.74 × 565.93
  4. Step 4: Simplify right side
    1,031.68x = 805,737.18
  5. Step 5: Solve for x
    x = 805,737.18/1,031.68
  6. Step 6: Final answer
    x = 781.00

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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.