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Finding the Fourth Proportional to 1,023.54, 1,411.95 and 597.78

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Solution

The fourth proportional to 1,023.54, 1,411.95 and 597.78 is: 824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.54 : 1,411.95 = 597.78 : x
  2. Step 2: Convert to fraction form
    1,023.54/1,411.95 = 597.78/x
  3. Step 3: Cross multiply
    1,023.54x = 1,411.95 × 597.78
  4. Step 4: Simplify right side
    1,023.54x = 844,035.47
  5. Step 5: Solve for x
    x = 844,035.47/1,023.54
  6. Step 6: Final answer
    x = 824.62

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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.