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Finding the Fourth Proportional to 895.82, 1,235.57 and 522.78

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Solution

The fourth proportional to 895.82, 1,235.57 and 522.78 is: 721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.82 : 1,235.57 = 522.78 : x
  2. Step 2: Convert to fraction form
    895.82/1,235.57 = 522.78/x
  3. Step 3: Cross multiply
    895.82x = 1,235.57 × 522.78
  4. Step 4: Simplify right side
    895.82x = 645,928.67
  5. Step 5: Solve for x
    x = 645,928.67/895.82
  6. Step 6: Final answer
    x = 721.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.