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Finding the Fourth Proportional to 1,351.93, 2,026.68 and 473.85

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Solution

The fourth proportional to 1,351.93, 2,026.68 and 473.85 is: 710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.93 : 2,026.68 = 473.85 : x
  2. Step 2: Convert to fraction form
    1,351.93/2,026.68 = 473.85/x
  3. Step 3: Cross multiply
    1,351.93x = 2,026.68 × 473.85
  4. Step 4: Simplify right side
    1,351.93x = 960,342.32
  5. Step 5: Solve for x
    x = 960,342.32/1,351.93
  6. Step 6: Final answer
    x = 710.35

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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.