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Finding the Fourth Proportional to 901.58, 1,244.30 and 570.08

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Solution

The fourth proportional to 901.58, 1,244.30 and 570.08 is: 786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.58 : 1,244.30 = 570.08 : x
  2. Step 2: Convert to fraction form
    901.58/1,244.30 = 570.08/x
  3. Step 3: Cross multiply
    901.58x = 1,244.30 × 570.08
  4. Step 4: Simplify right side
    901.58x = 709,350.80
  5. Step 5: Solve for x
    x = 709,350.80/901.58
  6. Step 6: Final answer
    x = 786.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.