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Finding the Fourth Proportional to 895.76, 1,235.84 and 522.65

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Solution

The fourth proportional to 895.76, 1,235.84 and 522.65 is: 721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.76 : 1,235.84 = 522.65 : x
  2. Step 2: Convert to fraction form
    895.76/1,235.84 = 522.65/x
  3. Step 3: Cross multiply
    895.76x = 1,235.84 × 522.65
  4. Step 4: Simplify right side
    895.76x = 645,902.98
  5. Step 5: Solve for x
    x = 645,902.98/895.76
  6. Step 6: Final answer
    x = 721.07

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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.