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Finding the Fourth Proportional to 1,298.02, 1,947.02 and 778.18

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Solution

The fourth proportional to 1,298.02, 1,947.02 and 778.18 is: 1,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.02 : 1,947.02 = 778.18 : x
  2. Step 2: Convert to fraction form
    1,298.02/1,947.02 = 778.18/x
  3. Step 3: Cross multiply
    1,298.02x = 1,947.02 × 778.18
  4. Step 4: Simplify right side
    1,298.02x = 1,515,132.02
  5. Step 5: Solve for x
    x = 1,515,132.02/1,298.02
  6. Step 6: Final answer
    x = 1,167.26

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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.