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Finding the Fourth Proportional to 1,281.09, 1,768.02 and 784.05

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Solution

The fourth proportional to 1,281.09, 1,768.02 and 784.05 is: 1,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.09 : 1,768.02 = 784.05 : x
  2. Step 2: Convert to fraction form
    1,281.09/1,768.02 = 784.05/x
  3. Step 3: Cross multiply
    1,281.09x = 1,768.02 × 784.05
  4. Step 4: Simplify right side
    1,281.09x = 1,386,206.51
  5. Step 5: Solve for x
    x = 1,386,206.51/1,281.09
  6. Step 6: Final answer
    x = 1,082.05

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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.