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Finding the Fourth Proportional to 1,031.54, 1,423.78 and 589.71

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Solution

The fourth proportional to 1,031.54, 1,423.78 and 589.71 is: 813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.54 : 1,423.78 = 589.71 : x
  2. Step 2: Convert to fraction form
    1,031.54/1,423.78 = 589.71/x
  3. Step 3: Cross multiply
    1,031.54x = 1,423.78 × 589.71
  4. Step 4: Simplify right side
    1,031.54x = 839,609.16
  5. Step 5: Solve for x
    x = 839,609.16/1,031.54
  6. Step 6: Final answer
    x = 813.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.