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Finding the Fourth Proportional to 895.34, 1,235.54 and 522.35

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Solution

The fourth proportional to 895.34, 1,235.54 and 522.35 is: 720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.34 : 1,235.54 = 522.35 : x
  2. Step 2: Convert to fraction form
    895.34/1,235.54 = 522.35/x
  3. Step 3: Cross multiply
    895.34x = 1,235.54 × 522.35
  4. Step 4: Simplify right side
    895.34x = 645,375.53
  5. Step 5: Solve for x
    x = 645,375.53/895.34
  6. Step 6: Final answer
    x = 720.81

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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.