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Finding the Fourth Proportional to 1,116.81, 1,674.14 and 569.79

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Solution

The fourth proportional to 1,116.81, 1,674.14 and 569.79 is: 854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.81 : 1,674.14 = 569.79 : x
  2. Step 2: Convert to fraction form
    1,116.81/1,674.14 = 569.79/x
  3. Step 3: Cross multiply
    1,116.81x = 1,674.14 × 569.79
  4. Step 4: Simplify right side
    1,116.81x = 953,905.38
  5. Step 5: Solve for x
    x = 953,905.38/1,116.81
  6. Step 6: Final answer
    x = 854.13

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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.