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Finding the Fourth Proportional to 1,569.77, 2,354.80 and 582.85

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Solution

The fourth proportional to 1,569.77, 2,354.80 and 582.85 is: 874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.77 : 2,354.80 = 582.85 : x
  2. Step 2: Convert to fraction form
    1,569.77/2,354.80 = 582.85/x
  3. Step 3: Cross multiply
    1,569.77x = 2,354.80 × 582.85
  4. Step 4: Simplify right side
    1,569.77x = 1,372,495.18
  5. Step 5: Solve for x
    x = 1,372,495.18/1,569.77
  6. Step 6: Final answer
    x = 874.33

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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.