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Finding the Fourth Proportional to 1,145.61, 1,717.38 and 705.78

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Solution

The fourth proportional to 1,145.61, 1,717.38 and 705.78 is: 1,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.61 : 1,717.38 = 705.78 : x
  2. Step 2: Convert to fraction form
    1,145.61/1,717.38 = 705.78/x
  3. Step 3: Cross multiply
    1,145.61x = 1,717.38 × 705.78
  4. Step 4: Simplify right side
    1,145.61x = 1,212,092.46
  5. Step 5: Solve for x
    x = 1,212,092.46/1,145.61
  6. Step 6: Final answer
    x = 1,058.03

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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.