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Finding the Fourth Proportional to 1,314.28, 1,972.62 and 665.46

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Solution

The fourth proportional to 1,314.28, 1,972.62 and 665.46 is: 998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.28 : 1,972.62 = 665.46 : x
  2. Step 2: Convert to fraction form
    1,314.28/1,972.62 = 665.46/x
  3. Step 3: Cross multiply
    1,314.28x = 1,972.62 × 665.46
  4. Step 4: Simplify right side
    1,314.28x = 1,312,699.71
  5. Step 5: Solve for x
    x = 1,312,699.71/1,314.28
  6. Step 6: Final answer
    x = 998.80

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1.5x scale

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.