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Finding the Fourth Proportional to 723.84, 1,085.14 and 313.28

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Solution

The fourth proportional to 723.84, 1,085.14 and 313.28 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.84 : 1,085.14 = 313.28 : x
  2. Step 2: Convert to fraction form
    723.84/1,085.14 = 313.28/x
  3. Step 3: Cross multiply
    723.84x = 1,085.14 × 313.28
  4. Step 4: Simplify right side
    723.84x = 339,952.66
  5. Step 5: Solve for x
    x = 339,952.66/723.84
  6. Step 6: Final answer
    x = 469.65

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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.