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Finding the Fourth Proportional to 873.78, 1,205.82 and 524.47

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Solution

The fourth proportional to 873.78, 1,205.82 and 524.47 is: 723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.78 : 1,205.82 = 524.47 : x
  2. Step 2: Convert to fraction form
    873.78/1,205.82 = 524.47/x
  3. Step 3: Cross multiply
    873.78x = 1,205.82 × 524.47
  4. Step 4: Simplify right side
    873.78x = 632,416.42
  5. Step 5: Solve for x
    x = 632,416.42/873.78
  6. Step 6: Final answer
    x = 723.77

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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.