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Finding the Fourth Proportional to 1,365.53, 2,048.28 and 391.63

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Solution

The fourth proportional to 1,365.53, 2,048.28 and 391.63 is: 587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.53 : 2,048.28 = 391.63 : x
  2. Step 2: Convert to fraction form
    1,365.53/2,048.28 = 391.63/x
  3. Step 3: Cross multiply
    1,365.53x = 2,048.28 × 391.63
  4. Step 4: Simplify right side
    1,365.53x = 802,164.24
  5. Step 5: Solve for x
    x = 802,164.24/1,365.53
  6. Step 6: Final answer
    x = 587.44

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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.