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Finding the Fourth Proportional to 692.51, 1,038.26 and 384.17

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Solution

The fourth proportional to 692.51, 1,038.26 and 384.17 is: 575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.51 : 1,038.26 = 384.17 : x
  2. Step 2: Convert to fraction form
    692.51/1,038.26 = 384.17/x
  3. Step 3: Cross multiply
    692.51x = 1,038.26 × 384.17
  4. Step 4: Simplify right side
    692.51x = 398,864.11
  5. Step 5: Solve for x
    x = 398,864.11/692.51
  6. Step 6: Final answer
    x = 575.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.