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Finding the Fourth Proportional to 1,314.57, 1,970.53 and 852.65

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Solution

The fourth proportional to 1,314.57, 1,970.53 and 852.65 is: 1,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.57 : 1,970.53 = 852.65 : x
  2. Step 2: Convert to fraction form
    1,314.57/1,970.53 = 852.65/x
  3. Step 3: Cross multiply
    1,314.57x = 1,970.53 × 852.65
  4. Step 4: Simplify right side
    1,314.57x = 1,680,160.42
  5. Step 5: Solve for x
    x = 1,680,160.42/1,314.57
  6. Step 6: Final answer
    x = 1,278.11

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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.