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Finding the Fourth Proportional to 1,543.62, 2,316.60 and 570.36

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Solution

The fourth proportional to 1,543.62, 2,316.60 and 570.36 is: 855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.62 : 2,316.60 = 570.36 : x
  2. Step 2: Convert to fraction form
    1,543.62/2,316.60 = 570.36/x
  3. Step 3: Cross multiply
    1,543.62x = 2,316.60 × 570.36
  4. Step 4: Simplify right side
    1,543.62x = 1,321,295.98
  5. Step 5: Solve for x
    x = 1,321,295.98/1,543.62
  6. Step 6: Final answer
    x = 855.97

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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.