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Finding the Fourth Proportional to 1,031.80, 1,424.01 and 589.72

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Solution

The fourth proportional to 1,031.80, 1,424.01 and 589.72 is: 813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.80 : 1,424.01 = 589.72 : x
  2. Step 2: Convert to fraction form
    1,031.80/1,424.01 = 589.72/x
  3. Step 3: Cross multiply
    1,031.80x = 1,424.01 × 589.72
  4. Step 4: Simplify right side
    1,031.80x = 839,767.18
  5. Step 5: Solve for x
    x = 839,767.18/1,031.80
  6. Step 6: Final answer
    x = 813.89

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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.