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Finding the Fourth Proportional to 1,031.61, 1,423.79 and 589.65

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Solution

The fourth proportional to 1,031.61, 1,423.79 and 589.65 is: 813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.61 : 1,423.79 = 589.65 : x
  2. Step 2: Convert to fraction form
    1,031.61/1,423.79 = 589.65/x
  3. Step 3: Cross multiply
    1,031.61x = 1,423.79 × 589.65
  4. Step 4: Simplify right side
    1,031.61x = 839,537.77
  5. Step 5: Solve for x
    x = 839,537.77/1,031.61
  6. Step 6: Final answer
    x = 813.81

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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.