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Finding the Fourth Proportional to 1,173.34, 1,615.71 and 1,007.29

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Solution

The fourth proportional to 1,173.34, 1,615.71 and 1,007.29 is: 1,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.34 : 1,615.71 = 1,007.29 : x
  2. Step 2: Convert to fraction form
    1,173.34/1,615.71 = 1,007.29/x
  3. Step 3: Cross multiply
    1,173.34x = 1,615.71 × 1,007.29
  4. Step 4: Simplify right side
    1,173.34x = 1,627,488.53
  5. Step 5: Solve for x
    x = 1,627,488.53/1,173.34
  6. Step 6: Final answer
    x = 1,387.06

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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.