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Finding the Fourth Proportional to 1,543.39, 2,314.47 and 569.26

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Solution

The fourth proportional to 1,543.39, 2,314.47 and 569.26 is: 853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.39 : 2,314.47 = 569.26 : x
  2. Step 2: Convert to fraction form
    1,543.39/2,314.47 = 569.26/x
  3. Step 3: Cross multiply
    1,543.39x = 2,314.47 × 569.26
  4. Step 4: Simplify right side
    1,543.39x = 1,317,540.22
  5. Step 5: Solve for x
    x = 1,317,540.22/1,543.39
  6. Step 6: Final answer
    x = 853.67

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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.