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Finding the Fourth Proportional to 1,132.40, 1,558.16 and 1,022

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Solution

The fourth proportional to 1,132.40, 1,558.16 and 1,022 is: 1,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.40 : 1,558.16 = 1,022 : x
  2. Step 2: Convert to fraction form
    1,132.40/1,558.16 = 1,022/x
  3. Step 3: Cross multiply
    1,132.40x = 1,558.16 × 1,022
  4. Step 4: Simplify right side
    1,132.40x = 1,592,439.52
  5. Step 5: Solve for x
    x = 1,592,439.52/1,132.40
  6. Step 6: Final answer
    x = 1,406.25

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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.