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Finding the Fourth Proportional to 895.05, 1,235.12 and 502.07

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Solution

The fourth proportional to 895.05, 1,235.12 and 502.07 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.05 : 1,235.12 = 502.07 : x
  2. Step 2: Convert to fraction form
    895.05/1,235.12 = 502.07/x
  3. Step 3: Cross multiply
    895.05x = 1,235.12 × 502.07
  4. Step 4: Simplify right side
    895.05x = 620,108.01
  5. Step 5: Solve for x
    x = 620,108.01/895.05
  6. Step 6: Final answer
    x = 692.82

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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.