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Finding the Fourth Proportional to 1,174.29, 1,758.46 and 705.47

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Solution

The fourth proportional to 1,174.29, 1,758.46 and 705.47 is: 1,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.29 : 1,758.46 = 705.47 : x
  2. Step 2: Convert to fraction form
    1,174.29/1,758.46 = 705.47/x
  3. Step 3: Cross multiply
    1,174.29x = 1,758.46 × 705.47
  4. Step 4: Simplify right side
    1,174.29x = 1,240,537.25
  5. Step 5: Solve for x
    x = 1,240,537.25/1,174.29
  6. Step 6: Final answer
    x = 1,056.41

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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.