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Finding the Fourth Proportional to 1,315.08, 1,970.46 and 969.12

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Solution

The fourth proportional to 1,315.08, 1,970.46 and 969.12 is: 1,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.08 : 1,970.46 = 969.12 : x
  2. Step 2: Convert to fraction form
    1,315.08/1,970.46 = 969.12/x
  3. Step 3: Cross multiply
    1,315.08x = 1,970.46 × 969.12
  4. Step 4: Simplify right side
    1,315.08x = 1,909,612.20
  5. Step 5: Solve for x
    x = 1,909,612.20/1,315.08
  6. Step 6: Final answer
    x = 1,452.09

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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.