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Finding the Fourth Proportional to 1,232.13, 1,700.84 and 734.68

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Solution

The fourth proportional to 1,232.13, 1,700.84 and 734.68 is: 1,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.13 : 1,700.84 = 734.68 : x
  2. Step 2: Convert to fraction form
    1,232.13/1,700.84 = 734.68/x
  3. Step 3: Cross multiply
    1,232.13x = 1,700.84 × 734.68
  4. Step 4: Simplify right side
    1,232.13x = 1,249,573.13
  5. Step 5: Solve for x
    x = 1,249,573.13/1,232.13
  6. Step 6: Final answer
    x = 1,014.16

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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.