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Finding the Fourth Proportional to 1,275.72, 1,913.80 and 788.10

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Solution

The fourth proportional to 1,275.72, 1,913.80 and 788.10 is: 1,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.72 : 1,913.80 = 788.10 : x
  2. Step 2: Convert to fraction form
    1,275.72/1,913.80 = 788.10/x
  3. Step 3: Cross multiply
    1,275.72x = 1,913.80 × 788.10
  4. Step 4: Simplify right side
    1,275.72x = 1,508,265.78
  5. Step 5: Solve for x
    x = 1,508,265.78/1,275.72
  6. Step 6: Final answer
    x = 1,182.29

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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.