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Finding the Fourth Proportional to 1,026.38, 1,539.77 and 524.78

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Solution

The fourth proportional to 1,026.38, 1,539.77 and 524.78 is: 787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.38 : 1,539.77 = 524.78 : x
  2. Step 2: Convert to fraction form
    1,026.38/1,539.77 = 524.78/x
  3. Step 3: Cross multiply
    1,026.38x = 1,539.77 × 524.78
  4. Step 4: Simplify right side
    1,026.38x = 808,041.73
  5. Step 5: Solve for x
    x = 808,041.73/1,026.38
  6. Step 6: Final answer
    x = 787.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.