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Finding the Fourth Proportional to 1,046.69, 1,569.84 and 388.47

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Solution

The fourth proportional to 1,046.69, 1,569.84 and 388.47 is: 582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.69 : 1,569.84 = 388.47 : x
  2. Step 2: Convert to fraction form
    1,046.69/1,569.84 = 388.47/x
  3. Step 3: Cross multiply
    1,046.69x = 1,569.84 × 388.47
  4. Step 4: Simplify right side
    1,046.69x = 609,835.74
  5. Step 5: Solve for x
    x = 609,835.74/1,046.69
  6. Step 6: Final answer
    x = 582.63

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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.