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Finding the Fourth Proportional to 895.02, 1,235.17 and 502.10

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Solution

The fourth proportional to 895.02, 1,235.17 and 502.10 is: 692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.02 : 1,235.17 = 502.10 : x
  2. Step 2: Convert to fraction form
    895.02/1,235.17 = 502.10/x
  3. Step 3: Cross multiply
    895.02x = 1,235.17 × 502.10
  4. Step 4: Simplify right side
    895.02x = 620,172.68
  5. Step 5: Solve for x
    x = 620,172.68/895.02
  6. Step 6: Final answer
    x = 692.92

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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.