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Finding the Fourth Proportional to 1,275.53, 1,909.32 and 982.28

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Solution

The fourth proportional to 1,275.53, 1,909.32 and 982.28 is: 1,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.53 : 1,909.32 = 982.28 : x
  2. Step 2: Convert to fraction form
    1,275.53/1,909.32 = 982.28/x
  3. Step 3: Cross multiply
    1,275.53x = 1,909.32 × 982.28
  4. Step 4: Simplify right side
    1,275.53x = 1,875,477.30
  5. Step 5: Solve for x
    x = 1,875,477.30/1,275.53
  6. Step 6: Final answer
    x = 1,470.35

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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.