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Finding the Fourth Proportional to 1,567.44, 2,351.60 and 786.50

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Solution

The fourth proportional to 1,567.44, 2,351.60 and 786.50 is: 1,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.44 : 2,351.60 = 786.50 : x
  2. Step 2: Convert to fraction form
    1,567.44/2,351.60 = 786.50/x
  3. Step 3: Cross multiply
    1,567.44x = 2,351.60 × 786.50
  4. Step 4: Simplify right side
    1,567.44x = 1,849,517.71
  5. Step 5: Solve for x
    x = 1,849,517.71/1,567.44
  6. Step 6: Final answer
    x = 1,179.96

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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.