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Finding the Fourth Proportional to 942.77, 1,412.40 and 778.07

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Solution

The fourth proportional to 942.77, 1,412.40 and 778.07 is: 1,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.77 : 1,412.40 = 778.07 : x
  2. Step 2: Convert to fraction form
    942.77/1,412.40 = 778.07/x
  3. Step 3: Cross multiply
    942.77x = 1,412.40 × 778.07
  4. Step 4: Simplify right side
    942.77x = 1,098,946.07
  5. Step 5: Solve for x
    x = 1,098,946.07/942.77
  6. Step 6: Final answer
    x = 1,165.66

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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.