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Finding the Fourth Proportional to 723.78, 1,085.72 and 312.93

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Solution

The fourth proportional to 723.78, 1,085.72 and 312.93 is: 469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.78 : 1,085.72 = 312.93 : x
  2. Step 2: Convert to fraction form
    723.78/1,085.72 = 312.93/x
  3. Step 3: Cross multiply
    723.78x = 1,085.72 × 312.93
  4. Step 4: Simplify right side
    723.78x = 339,752.79
  5. Step 5: Solve for x
    x = 339,752.79/723.78
  6. Step 6: Final answer
    x = 469.41

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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.