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Finding the Fourth Proportional to 895.15, 1,235.13 and 502.15

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Solution

The fourth proportional to 895.15, 1,235.13 and 502.15 is: 692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.15 : 1,235.13 = 502.15 : x
  2. Step 2: Convert to fraction form
    895.15/1,235.13 = 502.15/x
  3. Step 3: Cross multiply
    895.15x = 1,235.13 × 502.15
  4. Step 4: Simplify right side
    895.15x = 620,220.53
  5. Step 5: Solve for x
    x = 620,220.53/895.15
  6. Step 6: Final answer
    x = 692.87

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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.