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Finding the Fourth Proportional to 1,522.67, 2,287.07 and 907.57

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Solution

The fourth proportional to 1,522.67, 2,287.07 and 907.57 is: 1,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.67 : 2,287.07 = 907.57 : x
  2. Step 2: Convert to fraction form
    1,522.67/2,287.07 = 907.57/x
  3. Step 3: Cross multiply
    1,522.67x = 2,287.07 × 907.57
  4. Step 4: Simplify right side
    1,522.67x = 2,075,677.84
  5. Step 5: Solve for x
    x = 2,075,677.84/1,522.67
  6. Step 6: Final answer
    x = 1,363.19

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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.