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Finding the Fourth Proportional to 1,302.78, 1,798.05 and 771.68

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Solution

The fourth proportional to 1,302.78, 1,798.05 and 771.68 is: 1,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.78 : 1,798.05 = 771.68 : x
  2. Step 2: Convert to fraction form
    1,302.78/1,798.05 = 771.68/x
  3. Step 3: Cross multiply
    1,302.78x = 1,798.05 × 771.68
  4. Step 4: Simplify right side
    1,302.78x = 1,387,512.16
  5. Step 5: Solve for x
    x = 1,387,512.16/1,302.78
  6. Step 6: Final answer
    x = 1,065.04

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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.