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Finding the Fourth Proportional to 1,275.27, 1,911.36 and 904.50

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Solution

The fourth proportional to 1,275.27, 1,911.36 and 904.50 is: 1,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.27 : 1,911.36 = 904.50 : x
  2. Step 2: Convert to fraction form
    1,275.27/1,911.36 = 904.50/x
  3. Step 3: Cross multiply
    1,275.27x = 1,911.36 × 904.50
  4. Step 4: Simplify right side
    1,275.27x = 1,728,825.12
  5. Step 5: Solve for x
    x = 1,728,825.12/1,275.27
  6. Step 6: Final answer
    x = 1,355.65

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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.