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Finding the Fourth Proportional to 1,206.79, 1,663.58 and 874.69

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Solution

The fourth proportional to 1,206.79, 1,663.58 and 874.69 is: 1,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.79 : 1,663.58 = 874.69 : x
  2. Step 2: Convert to fraction form
    1,206.79/1,663.58 = 874.69/x
  3. Step 3: Cross multiply
    1,206.79x = 1,663.58 × 874.69
  4. Step 4: Simplify right side
    1,206.79x = 1,455,104.10
  5. Step 5: Solve for x
    x = 1,455,104.10/1,206.79
  6. Step 6: Final answer
    x = 1,205.77

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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.