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Finding the Fourth Proportional to 1,021.59, 1,531.22 and 583.08

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Solution

The fourth proportional to 1,021.59, 1,531.22 and 583.08 is: 873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.59 : 1,531.22 = 583.08 : x
  2. Step 2: Convert to fraction form
    1,021.59/1,531.22 = 583.08/x
  3. Step 3: Cross multiply
    1,021.59x = 1,531.22 × 583.08
  4. Step 4: Simplify right side
    1,021.59x = 892,823.76
  5. Step 5: Solve for x
    x = 892,823.76/1,021.59
  6. Step 6: Final answer
    x = 873.96

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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.