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Finding the Fourth Proportional to 1,291.85, 1,781.49 and 787.32

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Solution

The fourth proportional to 1,291.85, 1,781.49 and 787.32 is: 1,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.85 : 1,781.49 = 787.32 : x
  2. Step 2: Convert to fraction form
    1,291.85/1,781.49 = 787.32/x
  3. Step 3: Cross multiply
    1,291.85x = 1,781.49 × 787.32
  4. Step 4: Simplify right side
    1,291.85x = 1,402,605.66
  5. Step 5: Solve for x
    x = 1,402,605.66/1,291.85
  6. Step 6: Final answer
    x = 1,085.74

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1.5x scale

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.