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Finding the Fourth Proportional to 1,079.74, 1,489.66 and 706.93

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Solution

The fourth proportional to 1,079.74, 1,489.66 and 706.93 is: 975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.74 : 1,489.66 = 706.93 : x
  2. Step 2: Convert to fraction form
    1,079.74/1,489.66 = 706.93/x
  3. Step 3: Cross multiply
    1,079.74x = 1,489.66 × 706.93
  4. Step 4: Simplify right side
    1,079.74x = 1,053,081.84
  5. Step 5: Solve for x
    x = 1,053,081.84/1,079.74
  6. Step 6: Final answer
    x = 975.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.