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Finding the Fourth Proportional to 895.10, 1,235.16 and 522.12

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Solution

The fourth proportional to 895.10, 1,235.16 and 522.12 is: 720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.10 : 1,235.16 = 522.12 : x
  2. Step 2: Convert to fraction form
    895.10/1,235.16 = 522.12/x
  3. Step 3: Cross multiply
    895.10x = 1,235.16 × 522.12
  4. Step 4: Simplify right side
    895.10x = 644,901.74
  5. Step 5: Solve for x
    x = 644,901.74/895.10
  6. Step 6: Final answer
    x = 720.48

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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.