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Finding the Fourth Proportional to 1,119.93, 1,678.59 and 708.45

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Solution

The fourth proportional to 1,119.93, 1,678.59 and 708.45 is: 1,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.93 : 1,678.59 = 708.45 : x
  2. Step 2: Convert to fraction form
    1,119.93/1,678.59 = 708.45/x
  3. Step 3: Cross multiply
    1,119.93x = 1,678.59 × 708.45
  4. Step 4: Simplify right side
    1,119.93x = 1,189,197.09
  5. Step 5: Solve for x
    x = 1,189,197.09/1,119.93
  6. Step 6: Final answer
    x = 1,061.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.