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Finding the Fourth Proportional to 1,232.30, 1,700.25 and 735.11

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Solution

The fourth proportional to 1,232.30, 1,700.25 and 735.11 is: 1,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.30 : 1,700.25 = 735.11 : x
  2. Step 2: Convert to fraction form
    1,232.30/1,700.25 = 735.11/x
  3. Step 3: Cross multiply
    1,232.30x = 1,700.25 × 735.11
  4. Step 4: Simplify right side
    1,232.30x = 1,249,870.78
  5. Step 5: Solve for x
    x = 1,249,870.78/1,232.30
  6. Step 6: Final answer
    x = 1,014.26

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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.