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Finding the Fourth Proportional to 873.46, 1,205.49 and 524.17

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Solution

The fourth proportional to 873.46, 1,205.49 and 524.17 is: 723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.46 : 1,205.49 = 524.17 : x
  2. Step 2: Convert to fraction form
    873.46/1,205.49 = 524.17/x
  3. Step 3: Cross multiply
    873.46x = 1,205.49 × 524.17
  4. Step 4: Simplify right side
    873.46x = 631,881.69
  5. Step 5: Solve for x
    x = 631,881.69/873.46
  6. Step 6: Final answer
    x = 723.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.