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Finding the Fourth Proportional to 1,506.22, 2,259.71 and 581.53

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Solution

The fourth proportional to 1,506.22, 2,259.71 and 581.53 is: 872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.22 : 2,259.71 = 581.53 : x
  2. Step 2: Convert to fraction form
    1,506.22/2,259.71 = 581.53/x
  3. Step 3: Cross multiply
    1,506.22x = 2,259.71 × 581.53
  4. Step 4: Simplify right side
    1,506.22x = 1,314,089.16
  5. Step 5: Solve for x
    x = 1,314,089.16/1,506.22
  6. Step 6: Final answer
    x = 872.44

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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.