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Finding the Fourth Proportional to 1,312.59, 1,968.08 and 792.27

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Solution

The fourth proportional to 1,312.59, 1,968.08 and 792.27 is: 1,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.59 : 1,968.08 = 792.27 : x
  2. Step 2: Convert to fraction form
    1,312.59/1,968.08 = 792.27/x
  3. Step 3: Cross multiply
    1,312.59x = 1,968.08 × 792.27
  4. Step 4: Simplify right side
    1,312.59x = 1,559,246.78
  5. Step 5: Solve for x
    x = 1,559,246.78/1,312.59
  6. Step 6: Final answer
    x = 1,187.92

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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.