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Finding the Fourth Proportional to 1,314.32, 1,970.76 and 852.08

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Solution

The fourth proportional to 1,314.32, 1,970.76 and 852.08 is: 1,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.32 : 1,970.76 = 852.08 : x
  2. Step 2: Convert to fraction form
    1,314.32/1,970.76 = 852.08/x
  3. Step 3: Cross multiply
    1,314.32x = 1,970.76 × 852.08
  4. Step 4: Simplify right side
    1,314.32x = 1,679,245.18
  5. Step 5: Solve for x
    x = 1,679,245.18/1,314.32
  6. Step 6: Final answer
    x = 1,277.65

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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.