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Finding the Fourth Proportional to 873.42, 1,205.58 and 524.22

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Solution

The fourth proportional to 873.42, 1,205.58 and 524.22 is: 723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.42 : 1,205.58 = 524.22 : x
  2. Step 2: Convert to fraction form
    873.42/1,205.58 = 524.22/x
  3. Step 3: Cross multiply
    873.42x = 1,205.58 × 524.22
  4. Step 4: Simplify right side
    873.42x = 631,989.15
  5. Step 5: Solve for x
    x = 631,989.15/873.42
  6. Step 6: Final answer
    x = 723.58

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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.