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Finding the Fourth Proportional to 1,689.88, 2,535.72 and 703.12

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Solution

The fourth proportional to 1,689.88, 2,535.72 and 703.12 is: 1,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.88 : 2,535.72 = 703.12 : x
  2. Step 2: Convert to fraction form
    1,689.88/2,535.72 = 703.12/x
  3. Step 3: Cross multiply
    1,689.88x = 2,535.72 × 703.12
  4. Step 4: Simplify right side
    1,689.88x = 1,782,915.45
  5. Step 5: Solve for x
    x = 1,782,915.45/1,689.88
  6. Step 6: Final answer
    x = 1,055.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.