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Finding the Fourth Proportional to 1,232.16, 1,700.28 and 701.04

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Solution

The fourth proportional to 1,232.16, 1,700.28 and 701.04 is: 967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.16 : 1,700.28 = 701.04 : x
  2. Step 2: Convert to fraction form
    1,232.16/1,700.28 = 701.04/x
  3. Step 3: Cross multiply
    1,232.16x = 1,700.28 × 701.04
  4. Step 4: Simplify right side
    1,232.16x = 1,191,964.29
  5. Step 5: Solve for x
    x = 1,191,964.29/1,232.16
  6. Step 6: Final answer
    x = 967.38

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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.