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Finding the Fourth Proportional to 1,275.64, 1,760.40 and 778.16

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Solution

The fourth proportional to 1,275.64, 1,760.40 and 778.16 is: 1,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.64 : 1,760.40 = 778.16 : x
  2. Step 2: Convert to fraction form
    1,275.64/1,760.40 = 778.16/x
  3. Step 3: Cross multiply
    1,275.64x = 1,760.40 × 778.16
  4. Step 4: Simplify right side
    1,275.64x = 1,369,872.86
  5. Step 5: Solve for x
    x = 1,369,872.86/1,275.64
  6. Step 6: Final answer
    x = 1,073.87

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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.