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Finding the Fourth Proportional to 1,531.84, 2,297.42 and 436

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Solution

The fourth proportional to 1,531.84, 2,297.42 and 436 is: 653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.84 : 2,297.42 = 436 : x
  2. Step 2: Convert to fraction form
    1,531.84/2,297.42 = 436/x
  3. Step 3: Cross multiply
    1,531.84x = 2,297.42 × 436
  4. Step 4: Simplify right side
    1,531.84x = 1,001,675.12
  5. Step 5: Solve for x
    x = 1,001,675.12/1,531.84
  6. Step 6: Final answer
    x = 653.90

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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.