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Finding the Fourth Proportional to 1,170.98, 1,764.50 and 970.04

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Solution

The fourth proportional to 1,170.98, 1,764.50 and 970.04 is: 1,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.98 : 1,764.50 = 970.04 : x
  2. Step 2: Convert to fraction form
    1,170.98/1,764.50 = 970.04/x
  3. Step 3: Cross multiply
    1,170.98x = 1,764.50 × 970.04
  4. Step 4: Simplify right side
    1,170.98x = 1,711,621.91
  5. Step 5: Solve for x
    x = 1,711,621.91/1,170.98
  6. Step 6: Final answer
    x = 1,461.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.