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Finding the Fourth Proportional to 1,117.44, 1,673.76 and 706.56

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Solution

The fourth proportional to 1,117.44, 1,673.76 and 706.56 is: 1,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.44 : 1,673.76 = 706.56 : x
  2. Step 2: Convert to fraction form
    1,117.44/1,673.76 = 706.56/x
  3. Step 3: Cross multiply
    1,117.44x = 1,673.76 × 706.56
  4. Step 4: Simplify right side
    1,117.44x = 1,182,611.87
  5. Step 5: Solve for x
    x = 1,182,611.87/1,117.44
  6. Step 6: Final answer
    x = 1,058.32

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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.