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Finding the Fourth Proportional to 1,031.65, 1,423.66 and 559.54

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Solution

The fourth proportional to 1,031.65, 1,423.66 and 559.54 is: 772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.65 : 1,423.66 = 559.54 : x
  2. Step 2: Convert to fraction form
    1,031.65/1,423.66 = 559.54/x
  3. Step 3: Cross multiply
    1,031.65x = 1,423.66 × 559.54
  4. Step 4: Simplify right side
    1,031.65x = 796,594.72
  5. Step 5: Solve for x
    x = 796,594.72/1,031.65
  6. Step 6: Final answer
    x = 772.16

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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.