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Finding the Fourth Proportional to 707.44, 1,059.88 and 692.08

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Solution

The fourth proportional to 707.44, 1,059.88 and 692.08 is: 1,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.44 : 1,059.88 = 692.08 : x
  2. Step 2: Convert to fraction form
    707.44/1,059.88 = 692.08/x
  3. Step 3: Cross multiply
    707.44x = 1,059.88 × 692.08
  4. Step 4: Simplify right side
    707.44x = 733,521.75
  5. Step 5: Solve for x
    x = 733,521.75/707.44
  6. Step 6: Final answer
    x = 1,036.87

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Why These Related Problems?

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