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Finding the Fourth Proportional to 670.59, 1,006.25 and 285.75

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Solution

The fourth proportional to 670.59, 1,006.25 and 285.75 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.59 : 1,006.25 = 285.75 : x
  2. Step 2: Convert to fraction form
    670.59/1,006.25 = 285.75/x
  3. Step 3: Cross multiply
    670.59x = 1,006.25 × 285.75
  4. Step 4: Simplify right side
    670.59x = 287,534.51
  5. Step 5: Solve for x
    x = 287,534.51/670.59
  6. Step 6: Final answer
    x = 428.78

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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.