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Finding the Fourth Proportional to 1,506.29, 2,259.74 and 533.07

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Solution

The fourth proportional to 1,506.29, 2,259.74 and 533.07 is: 799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.29 : 2,259.74 = 533.07 : x
  2. Step 2: Convert to fraction form
    1,506.29/2,259.74 = 533.07/x
  3. Step 3: Cross multiply
    1,506.29x = 2,259.74 × 533.07
  4. Step 4: Simplify right side
    1,506.29x = 1,204,604.29
  5. Step 5: Solve for x
    x = 1,204,604.29/1,506.29
  6. Step 6: Final answer
    x = 799.72

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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.