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Finding the Fourth Proportional to 1,003.84, 1,385.20 and 589.76

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Solution

The fourth proportional to 1,003.84, 1,385.20 and 589.76 is: 813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.84 : 1,385.20 = 589.76 : x
  2. Step 2: Convert to fraction form
    1,003.84/1,385.20 = 589.76/x
  3. Step 3: Cross multiply
    1,003.84x = 1,385.20 × 589.76
  4. Step 4: Simplify right side
    1,003.84x = 816,935.55
  5. Step 5: Solve for x
    x = 816,935.55/1,003.84
  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.