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Finding the Fourth Proportional to 1,013.84, 1,398.96 and 594.24

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Solution

The fourth proportional to 1,013.84, 1,398.96 and 594.24 is: 819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.84 : 1,398.96 = 594.24 : x
  2. Step 2: Convert to fraction form
    1,013.84/1,398.96 = 594.24/x
  3. Step 3: Cross multiply
    1,013.84x = 1,398.96 × 594.24
  4. Step 4: Simplify right side
    1,013.84x = 831,317.99
  5. Step 5: Solve for x
    x = 831,317.99/1,013.84
  6. Step 6: Final answer
    x = 819.97

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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.