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Finding the Fourth Proportional to 1,233.52, 1,697.93 and 1,075.86

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Solution

The fourth proportional to 1,233.52, 1,697.93 and 1,075.86 is: 1,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.52 : 1,697.93 = 1,075.86 : x
  2. Step 2: Convert to fraction form
    1,233.52/1,697.93 = 1,075.86/x
  3. Step 3: Cross multiply
    1,233.52x = 1,697.93 × 1,075.86
  4. Step 4: Simplify right side
    1,233.52x = 1,826,729.59
  5. Step 5: Solve for x
    x = 1,826,729.59/1,233.52
  6. Step 6: Final answer
    x = 1,480.91

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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.