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Finding the Fourth Proportional to 1,266.58, 1,897.08 and 778.18

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Solution

The fourth proportional to 1,266.58, 1,897.08 and 778.18 is: 1,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.58 : 1,897.08 = 778.18 : x
  2. Step 2: Convert to fraction form
    1,266.58/1,897.08 = 778.18/x
  3. Step 3: Cross multiply
    1,266.58x = 1,897.08 × 778.18
  4. Step 4: Simplify right side
    1,266.58x = 1,476,269.71
  5. Step 5: Solve for x
    x = 1,476,269.71/1,266.58
  6. Step 6: Final answer
    x = 1,165.56

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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.