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Finding the Fourth Proportional to 1,233.32, 1,700.32 and 953.04

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Solution

The fourth proportional to 1,233.32, 1,700.32 and 953.04 is: 1,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.32 : 1,700.32 = 953.04 : x
  2. Step 2: Convert to fraction form
    1,233.32/1,700.32 = 953.04/x
  3. Step 3: Cross multiply
    1,233.32x = 1,700.32 × 953.04
  4. Step 4: Simplify right side
    1,233.32x = 1,620,472.97
  5. Step 5: Solve for x
    x = 1,620,472.97/1,233.32
  6. Step 6: Final answer
    x = 1,313.91

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