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Finding the Fourth Proportional to 873.32, 1,205.28 and 524.07

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Solution

The fourth proportional to 873.32, 1,205.28 and 524.07 is: 723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.32 : 1,205.28 = 524.07 : x
  2. Step 2: Convert to fraction form
    873.32/1,205.28 = 524.07/x
  3. Step 3: Cross multiply
    873.32x = 1,205.28 × 524.07
  4. Step 4: Simplify right side
    873.32x = 631,651.09
  5. Step 5: Solve for x
    x = 631,651.09/873.32
  6. Step 6: Final answer
    x = 723.28

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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.