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Finding the Fourth Proportional to 1,132.32, 1,561.04 and 968.28

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Solution

The fourth proportional to 1,132.32, 1,561.04 and 968.28 is: 1,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.32 : 1,561.04 = 968.28 : x
  2. Step 2: Convert to fraction form
    1,132.32/1,561.04 = 968.28/x
  3. Step 3: Cross multiply
    1,132.32x = 1,561.04 × 968.28
  4. Step 4: Simplify right side
    1,132.32x = 1,511,518.97
  5. Step 5: Solve for x
    x = 1,511,518.97/1,132.32
  6. Step 6: Final answer
    x = 1,334.89

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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.