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Finding the Fourth Proportional to 1,253.62, 1,876.78 and 705.07

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Solution

The fourth proportional to 1,253.62, 1,876.78 and 705.07 is: 1,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.62 : 1,876.78 = 705.07 : x
  2. Step 2: Convert to fraction form
    1,253.62/1,876.78 = 705.07/x
  3. Step 3: Cross multiply
    1,253.62x = 1,876.78 × 705.07
  4. Step 4: Simplify right side
    1,253.62x = 1,323,261.27
  5. Step 5: Solve for x
    x = 1,323,261.27/1,253.62
  6. Step 6: Final answer
    x = 1,055.55

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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.