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Finding the Fourth Proportional to 1,365.59, 2,048.54 and 391.85

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Solution

The fourth proportional to 1,365.59, 2,048.54 and 391.85 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.59 : 2,048.54 = 391.85 : x
  2. Step 2: Convert to fraction form
    1,365.59/2,048.54 = 391.85/x
  3. Step 3: Cross multiply
    1,365.59x = 2,048.54 × 391.85
  4. Step 4: Simplify right side
    1,365.59x = 802,720.40
  5. Step 5: Solve for x
    x = 802,720.40/1,365.59
  6. Step 6: Final answer
    x = 587.82

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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.