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Finding the Fourth Proportional to 895.65, 1,235.89 and 522.72

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Solution

The fourth proportional to 895.65, 1,235.89 and 522.72 is: 721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.65 : 1,235.89 = 522.72 : x
  2. Step 2: Convert to fraction form
    895.65/1,235.89 = 522.72/x
  3. Step 3: Cross multiply
    895.65x = 1,235.89 × 522.72
  4. Step 4: Simplify right side
    895.65x = 646,024.42
  5. Step 5: Solve for x
    x = 646,024.42/895.65
  6. Step 6: Final answer
    x = 721.29

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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.