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Finding the Fourth Proportional to 1,578.69, 2,368.04 and 538.79

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Solution

The fourth proportional to 1,578.69, 2,368.04 and 538.79 is: 808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.69 : 2,368.04 = 538.79 : x
  2. Step 2: Convert to fraction form
    1,578.69/2,368.04 = 538.79/x
  3. Step 3: Cross multiply
    1,578.69x = 2,368.04 × 538.79
  4. Step 4: Simplify right side
    1,578.69x = 1,275,861.74
  5. Step 5: Solve for x
    x = 1,275,861.74/1,578.69
  6. Step 6: Final answer
    x = 808.18

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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.