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Finding the Fourth Proportional to 1,031.78, 1,424.02 and 589.74

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Solution

The fourth proportional to 1,031.78, 1,424.02 and 589.74 is: 813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.78 : 1,424.02 = 589.74 : x
  2. Step 2: Convert to fraction form
    1,031.78/1,424.02 = 589.74/x
  3. Step 3: Cross multiply
    1,031.78x = 1,424.02 × 589.74
  4. Step 4: Simplify right side
    1,031.78x = 839,801.55
  5. Step 5: Solve for x
    x = 839,801.55/1,031.78
  6. Step 6: Final answer
    x = 813.93

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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.