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Finding the Fourth Proportional to 723.42, 1,084.53 and 312.50

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Solution

The fourth proportional to 723.42, 1,084.53 and 312.50 is: 468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.42 : 1,084.53 = 312.50 : x
  2. Step 2: Convert to fraction form
    723.42/1,084.53 = 312.50/x
  3. Step 3: Cross multiply
    723.42x = 1,084.53 × 312.50
  4. Step 4: Simplify right side
    723.42x = 338,915.63
  5. Step 5: Solve for x
    x = 338,915.63/723.42
  6. Step 6: Final answer
    x = 468.49

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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.