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Finding the Fourth Proportional to 1,544.37, 2,316.82 and 570.48

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Solution

The fourth proportional to 1,544.37, 2,316.82 and 570.48 is: 855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.37 : 2,316.82 = 570.48 : x
  2. Step 2: Convert to fraction form
    1,544.37/2,316.82 = 570.48/x
  3. Step 3: Cross multiply
    1,544.37x = 2,316.82 × 570.48
  4. Step 4: Simplify right side
    1,544.37x = 1,321,699.47
  5. Step 5: Solve for x
    x = 1,321,699.47/1,544.37
  6. Step 6: Final answer
    x = 855.82

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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.