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Finding the Fourth Proportional to 880.53, 1,319.40 and 742.93

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Solution

The fourth proportional to 880.53, 1,319.40 and 742.93 is: 1,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.53 : 1,319.40 = 742.93 : x
  2. Step 2: Convert to fraction form
    880.53/1,319.40 = 742.93/x
  3. Step 3: Cross multiply
    880.53x = 1,319.40 × 742.93
  4. Step 4: Simplify right side
    880.53x = 980,221.84
  5. Step 5: Solve for x
    x = 980,221.84/880.53
  6. Step 6: Final answer
    x = 1,113.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.