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Finding the Fourth Proportional to 1,132.48, 1,562.34 and 782.56

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Solution

The fourth proportional to 1,132.48, 1,562.34 and 782.56 is: 1,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.48 : 1,562.34 = 782.56 : x
  2. Step 2: Convert to fraction form
    1,132.48/1,562.34 = 782.56/x
  3. Step 3: Cross multiply
    1,132.48x = 1,562.34 × 782.56
  4. Step 4: Simplify right side
    1,132.48x = 1,222,624.79
  5. Step 5: Solve for x
    x = 1,222,624.79/1,132.48
  6. Step 6: Final answer
    x = 1,079.60

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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.