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Finding the Fourth Proportional to 1,020.53, 1,407.07 and 880.40

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Solution

The fourth proportional to 1,020.53, 1,407.07 and 880.40 is: 1,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.53 : 1,407.07 = 880.40 : x
  2. Step 2: Convert to fraction form
    1,020.53/1,407.07 = 880.40/x
  3. Step 3: Cross multiply
    1,020.53x = 1,407.07 × 880.40
  4. Step 4: Simplify right side
    1,020.53x = 1,238,789.05
  5. Step 5: Solve for x
    x = 1,238,789.05/1,020.53
  6. Step 6: Final answer
    x = 1,213.87

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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.