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Finding the Fourth Proportional to 1,306.32, 1,803.24 and 782.25

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Solution

The fourth proportional to 1,306.32, 1,803.24 and 782.25 is: 1,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.32 : 1,803.24 = 782.25 : x
  2. Step 2: Convert to fraction form
    1,306.32/1,803.24 = 782.25/x
  3. Step 3: Cross multiply
    1,306.32x = 1,803.24 × 782.25
  4. Step 4: Simplify right side
    1,306.32x = 1,410,584.49
  5. Step 5: Solve for x
    x = 1,410,584.49/1,306.32
  6. Step 6: Final answer
    x = 1,079.82

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Double scale
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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.