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Finding the Fourth Proportional to 1,312.60, 1,967.82 and 824.44

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Solution

The fourth proportional to 1,312.60, 1,967.82 and 824.44 is: 1,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.60 : 1,967.82 = 824.44 : x
  2. Step 2: Convert to fraction form
    1,312.60/1,967.82 = 824.44/x
  3. Step 3: Cross multiply
    1,312.60x = 1,967.82 × 824.44
  4. Step 4: Simplify right side
    1,312.60x = 1,622,349.52
  5. Step 5: Solve for x
    x = 1,622,349.52/1,312.60
  6. Step 6: Final answer
    x = 1,235.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.