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Finding the Fourth Proportional to 1,024.26, 1,412.70 and 787.88

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Solution

The fourth proportional to 1,024.26, 1,412.70 and 787.88 is: 1,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.26 : 1,412.70 = 787.88 : x
  2. Step 2: Convert to fraction form
    1,024.26/1,412.70 = 787.88/x
  3. Step 3: Cross multiply
    1,024.26x = 1,412.70 × 787.88
  4. Step 4: Simplify right side
    1,024.26x = 1,113,038.08
  5. Step 5: Solve for x
    x = 1,113,038.08/1,024.26
  6. Step 6: Final answer
    x = 1,086.68

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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.