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Finding the Fourth Proportional to 1,325.72, 1,829.88 and 860.78

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Solution

The fourth proportional to 1,325.72, 1,829.88 and 860.78 is: 1,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.72 : 1,829.88 = 860.78 : x
  2. Step 2: Convert to fraction form
    1,325.72/1,829.88 = 860.78/x
  3. Step 3: Cross multiply
    1,325.72x = 1,829.88 × 860.78
  4. Step 4: Simplify right side
    1,325.72x = 1,575,124.11
  5. Step 5: Solve for x
    x = 1,575,124.11/1,325.72
  6. Step 6: Final answer
    x = 1,188.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.