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Finding the Fourth Proportional to 692.33, 1,038.95 and 510.99

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Solution

The fourth proportional to 692.33, 1,038.95 and 510.99 is: 766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.33 : 1,038.95 = 510.99 : x
  2. Step 2: Convert to fraction form
    692.33/1,038.95 = 510.99/x
  3. Step 3: Cross multiply
    692.33x = 1,038.95 × 510.99
  4. Step 4: Simplify right side
    692.33x = 530,890.51
  5. Step 5: Solve for x
    x = 530,890.51/692.33
  6. Step 6: Final answer
    x = 766.82

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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.