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Finding the Fourth Proportional to 1,365.90, 2,048.91 and 392.10

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Solution

The fourth proportional to 1,365.90, 2,048.91 and 392.10 is: 588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.90 : 2,048.91 = 392.10 : x
  2. Step 2: Convert to fraction form
    1,365.90/2,048.91 = 392.10/x
  3. Step 3: Cross multiply
    1,365.90x = 2,048.91 × 392.10
  4. Step 4: Simplify right side
    1,365.90x = 803,377.61
  5. Step 5: Solve for x
    x = 803,377.61/1,365.90
  6. Step 6: Final answer
    x = 588.17

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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.