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Finding the Fourth Proportional to 1,506.87, 2,259.45 and 466.57

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Solution

The fourth proportional to 1,506.87, 2,259.45 and 466.57 is: 699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.87 : 2,259.45 = 466.57 : x
  2. Step 2: Convert to fraction form
    1,506.87/2,259.45 = 466.57/x
  3. Step 3: Cross multiply
    1,506.87x = 2,259.45 × 466.57
  4. Step 4: Simplify right side
    1,506.87x = 1,054,191.59
  5. Step 5: Solve for x
    x = 1,054,191.59/1,506.87
  6. Step 6: Final answer
    x = 699.59

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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.