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Finding the Fourth Proportional to 1,569.71, 2,352.85 and 788.47

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Solution

The fourth proportional to 1,569.71, 2,352.85 and 788.47 is: 1,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.71 : 2,352.85 = 788.47 : x
  2. Step 2: Convert to fraction form
    1,569.71/2,352.85 = 788.47/x
  3. Step 3: Cross multiply
    1,569.71x = 2,352.85 × 788.47
  4. Step 4: Simplify right side
    1,569.71x = 1,855,143.79
  5. Step 5: Solve for x
    x = 1,855,143.79/1,569.71
  6. Step 6: Final answer
    x = 1,181.84

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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.