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Finding the Fourth Proportional to 1,688.70, 2,531 and 907.58

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Solution

The fourth proportional to 1,688.70, 2,531 and 907.58 is: 1,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.70 : 2,531 = 907.58 : x
  2. Step 2: Convert to fraction form
    1,688.70/2,531 = 907.58/x
  3. Step 3: Cross multiply
    1,688.70x = 2,531 × 907.58
  4. Step 4: Simplify right side
    1,688.70x = 2,297,084.98
  5. Step 5: Solve for x
    x = 2,297,084.98/1,688.70
  6. Step 6: Final answer
    x = 1,360.27

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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.