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Finding the Fourth Proportional to 1,365.17, 2,046.78 and 749.16

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Solution

The fourth proportional to 1,365.17, 2,046.78 and 749.16 is: 1,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.17 : 2,046.78 = 749.16 : x
  2. Step 2: Convert to fraction form
    1,365.17/2,046.78 = 749.16/x
  3. Step 3: Cross multiply
    1,365.17x = 2,046.78 × 749.16
  4. Step 4: Simplify right side
    1,365.17x = 1,533,365.70
  5. Step 5: Solve for x
    x = 1,533,365.70/1,365.17
  6. Step 6: Final answer
    x = 1,123.21

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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.