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Finding the Fourth Proportional to 1,345.78, 2,017.05 and 614.35

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Solution

The fourth proportional to 1,345.78, 2,017.05 and 614.35 is: 920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.78 : 2,017.05 = 614.35 : x
  2. Step 2: Convert to fraction form
    1,345.78/2,017.05 = 614.35/x
  3. Step 3: Cross multiply
    1,345.78x = 2,017.05 × 614.35
  4. Step 4: Simplify right side
    1,345.78x = 1,239,174.67
  5. Step 5: Solve for x
    x = 1,239,174.67/1,345.78
  6. Step 6: Final answer
    x = 920.79

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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.