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Finding the Fourth Proportional to 895.52, 1,235.98 and 522.48

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Solution

The fourth proportional to 895.52, 1,235.98 and 522.48 is: 721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.52 : 1,235.98 = 522.48 : x
  2. Step 2: Convert to fraction form
    895.52/1,235.98 = 522.48/x
  3. Step 3: Cross multiply
    895.52x = 1,235.98 × 522.48
  4. Step 4: Simplify right side
    895.52x = 645,774.83
  5. Step 5: Solve for x
    x = 645,774.83/895.52
  6. Step 6: Final answer
    x = 721.12

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