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Finding the Fourth Proportional to 1,170.66, 1,615.02 and 1,077.39

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Solution

The fourth proportional to 1,170.66, 1,615.02 and 1,077.39 is: 1,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.66 : 1,615.02 = 1,077.39 : x
  2. Step 2: Convert to fraction form
    1,170.66/1,615.02 = 1,077.39/x
  3. Step 3: Cross multiply
    1,170.66x = 1,615.02 × 1,077.39
  4. Step 4: Simplify right side
    1,170.66x = 1,740,006.40
  5. Step 5: Solve for x
    x = 1,740,006.40/1,170.66
  6. Step 6: Final answer
    x = 1,486.35

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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.