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Finding the Fourth Proportional to 1,563.75, 2,342.75 and 782.87

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Solution

The fourth proportional to 1,563.75, 2,342.75 and 782.87 is: 1,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.75 : 2,342.75 = 782.87 : x
  2. Step 2: Convert to fraction form
    1,563.75/2,342.75 = 782.87/x
  3. Step 3: Cross multiply
    1,563.75x = 2,342.75 × 782.87
  4. Step 4: Simplify right side
    1,563.75x = 1,834,053.06
  5. Step 5: Solve for x
    x = 1,834,053.06/1,563.75
  6. Step 6: Final answer
    x = 1,172.86

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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.