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Finding the Fourth Proportional to 1,170.66, 1,615.55 and 673.46

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Solution

The fourth proportional to 1,170.66, 1,615.55 and 673.46 is: 929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.66 : 1,615.55 = 673.46 : x
  2. Step 2: Convert to fraction form
    1,170.66/1,615.55 = 673.46/x
  3. Step 3: Cross multiply
    1,170.66x = 1,615.55 × 673.46
  4. Step 4: Simplify right side
    1,170.66x = 1,088,001.91
  5. Step 5: Solve for x
    x = 1,088,001.91/1,170.66
  6. Step 6: Final answer
    x = 929.39

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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.