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Finding the Fourth Proportional to 1,544.74, 2,316.03 and 570.58

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Solution

The fourth proportional to 1,544.74, 2,316.03 and 570.58 is: 855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.74 : 2,316.03 = 570.58 : x
  2. Step 2: Convert to fraction form
    1,544.74/2,316.03 = 570.58/x
  3. Step 3: Cross multiply
    1,544.74x = 2,316.03 × 570.58
  4. Step 4: Simplify right side
    1,544.74x = 1,321,480.40
  5. Step 5: Solve for x
    x = 1,321,480.40/1,544.74
  6. Step 6: Final answer
    x = 855.47

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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.