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Finding the Fourth Proportional to 1,298.75, 1,947.80 and 476.57

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Solution

The fourth proportional to 1,298.75, 1,947.80 and 476.57 is: 714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.75 : 1,947.80 = 476.57 : x
  2. Step 2: Convert to fraction form
    1,298.75/1,947.80 = 476.57/x
  3. Step 3: Cross multiply
    1,298.75x = 1,947.80 × 476.57
  4. Step 4: Simplify right side
    1,298.75x = 928,250.92
  5. Step 5: Solve for x
    x = 928,250.92/1,298.75
  6. Step 6: Final answer
    x = 714.73

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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.