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Finding the Fourth Proportional to 895.08, 1,235.36 and 522.24

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Solution

The fourth proportional to 895.08, 1,235.36 and 522.24 is: 720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.08 : 1,235.36 = 522.24 : x
  2. Step 2: Convert to fraction form
    895.08/1,235.36 = 522.24/x
  3. Step 3: Cross multiply
    895.08x = 1,235.36 × 522.24
  4. Step 4: Simplify right side
    895.08x = 645,154.41
  5. Step 5: Solve for x
    x = 645,154.41/895.08
  6. Step 6: Final answer
    x = 720.78

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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.