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Finding the Fourth Proportional to 692.46, 1,038.69 and 582.30

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Solution

The fourth proportional to 692.46, 1,038.69 and 582.30 is: 873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 1,038.69 = 582.30 : x
  2. Step 2: Convert to fraction form
    692.46/1,038.69 = 582.30/x
  3. Step 3: Cross multiply
    692.46x = 1,038.69 × 582.30
  4. Step 4: Simplify right side
    692.46x = 604,829.19
  5. Step 5: Solve for x
    x = 604,829.19/692.46
  6. Step 6: Final answer
    x = 873.45

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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.