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Finding the Fourth Proportional to 1,091.70, 1,635.15 and 970.10

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Solution

The fourth proportional to 1,091.70, 1,635.15 and 970.10 is: 1,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.70 : 1,635.15 = 970.10 : x
  2. Step 2: Convert to fraction form
    1,091.70/1,635.15 = 970.10/x
  3. Step 3: Cross multiply
    1,091.70x = 1,635.15 × 970.10
  4. Step 4: Simplify right side
    1,091.70x = 1,586,259.02
  5. Step 5: Solve for x
    x = 1,586,259.02/1,091.70
  6. Step 6: Final answer
    x = 1,453.02

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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.