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Finding the Fourth Proportional to 1,031.84, 1,423.94 and 589.75

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Solution

The fourth proportional to 1,031.84, 1,423.94 and 589.75 is: 813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.84 : 1,423.94 = 589.75 : x
  2. Step 2: Convert to fraction form
    1,031.84/1,423.94 = 589.75/x
  3. Step 3: Cross multiply
    1,031.84x = 1,423.94 × 589.75
  4. Step 4: Simplify right side
    1,031.84x = 839,762.11
  5. Step 5: Solve for x
    x = 839,762.11/1,031.84
  6. Step 6: Final answer
    x = 813.85

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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.