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Finding the Fourth Proportional to 1,314.24, 1,971.36 and 972.48

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Solution

The fourth proportional to 1,314.24, 1,971.36 and 972.48 is: 1,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.24 : 1,971.36 = 972.48 : x
  2. Step 2: Convert to fraction form
    1,314.24/1,971.36 = 972.48/x
  3. Step 3: Cross multiply
    1,314.24x = 1,971.36 × 972.48
  4. Step 4: Simplify right side
    1,314.24x = 1,917,108.17
  5. Step 5: Solve for x
    x = 1,917,108.17/1,314.24
  6. Step 6: Final answer
    x = 1,458.72

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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.