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Finding the Fourth Proportional to 1,223.77, 1,835.13 and 493.15

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Solution

The fourth proportional to 1,223.77, 1,835.13 and 493.15 is: 739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.77 : 1,835.13 = 493.15 : x
  2. Step 2: Convert to fraction form
    1,223.77/1,835.13 = 493.15/x
  3. Step 3: Cross multiply
    1,223.77x = 1,835.13 × 493.15
  4. Step 4: Simplify right side
    1,223.77x = 904,985.18
  5. Step 5: Solve for x
    x = 904,985.18/1,223.77
  6. Step 6: Final answer
    x = 739.51

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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.