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Finding the Fourth Proportional to 1,254.55, 1,879.31 and 705.91

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Solution

The fourth proportional to 1,254.55, 1,879.31 and 705.91 is: 1,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.55 : 1,879.31 = 705.91 : x
  2. Step 2: Convert to fraction form
    1,254.55/1,879.31 = 705.91/x
  3. Step 3: Cross multiply
    1,254.55x = 1,879.31 × 705.91
  4. Step 4: Simplify right side
    1,254.55x = 1,326,620.19
  5. Step 5: Solve for x
    x = 1,326,620.19/1,254.55
  6. Step 6: Final answer
    x = 1,057.45

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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.