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Finding the Fourth Proportional to 1,045, 1,567.86 and 582.22

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Solution

The fourth proportional to 1,045, 1,567.86 and 582.22 is: 873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045 : 1,567.86 = 582.22 : x
  2. Step 2: Convert to fraction form
    1,045/1,567.86 = 582.22/x
  3. Step 3: Cross multiply
    1,045x = 1,567.86 × 582.22
  4. Step 4: Simplify right side
    1,045x = 912,839.45
  5. Step 5: Solve for x
    x = 912,839.45/1,045
  6. Step 6: Final answer
    x = 873.53

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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.