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Finding the Fourth Proportional to 1,252.76, 1,728.92 and 787

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Solution

The fourth proportional to 1,252.76, 1,728.92 and 787 is: 1,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.76 : 1,728.92 = 787 : x
  2. Step 2: Convert to fraction form
    1,252.76/1,728.92 = 787/x
  3. Step 3: Cross multiply
    1,252.76x = 1,728.92 × 787
  4. Step 4: Simplify right side
    1,252.76x = 1,360,660.04
  5. Step 5: Solve for x
    x = 1,360,660.04/1,252.76
  6. Step 6: Final answer
    x = 1,086.13

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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.