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Finding the Fourth Proportional to 1,048.33, 1,570.87 and 398.71

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Solution

The fourth proportional to 1,048.33, 1,570.87 and 398.71 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.33 : 1,570.87 = 398.71 : x
  2. Step 2: Convert to fraction form
    1,048.33/1,570.87 = 398.71/x
  3. Step 3: Cross multiply
    1,048.33x = 1,570.87 × 398.71
  4. Step 4: Simplify right side
    1,048.33x = 626,321.58
  5. Step 5: Solve for x
    x = 626,321.58/1,048.33
  6. Step 6: Final answer
    x = 597.45

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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.