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Finding the Fourth Proportional to 1,281.78, 1,767.98 and 783.78

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Solution

The fourth proportional to 1,281.78, 1,767.98 and 783.78 is: 1,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.78 : 1,767.98 = 783.78 : x
  2. Step 2: Convert to fraction form
    1,281.78/1,767.98 = 783.78/x
  3. Step 3: Cross multiply
    1,281.78x = 1,767.98 × 783.78
  4. Step 4: Simplify right side
    1,281.78x = 1,385,703.45
  5. Step 5: Solve for x
    x = 1,385,703.45/1,281.78
  6. Step 6: Final answer
    x = 1,081.08

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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.