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Finding the Fourth Proportional to 1,505.74, 2,259.06 and 531.90

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Solution

The fourth proportional to 1,505.74, 2,259.06 and 531.90 is: 798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.74 : 2,259.06 = 531.90 : x
  2. Step 2: Convert to fraction form
    1,505.74/2,259.06 = 531.90/x
  3. Step 3: Cross multiply
    1,505.74x = 2,259.06 × 531.90
  4. Step 4: Simplify right side
    1,505.74x = 1,201,594.01
  5. Step 5: Solve for x
    x = 1,201,594.01/1,505.74
  6. Step 6: Final answer
    x = 798.01

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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.