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Finding the Fourth Proportional to 873.55, 1,205.31 and 524.17

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Solution

The fourth proportional to 873.55, 1,205.31 and 524.17 is: 723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.55 : 1,205.31 = 524.17 : x
  2. Step 2: Convert to fraction form
    873.55/1,205.31 = 524.17/x
  3. Step 3: Cross multiply
    873.55x = 1,205.31 × 524.17
  4. Step 4: Simplify right side
    873.55x = 631,787.34
  5. Step 5: Solve for x
    x = 631,787.34/873.55
  6. Step 6: Final answer
    x = 723.24

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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.