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Finding the Fourth Proportional to 901.99, 1,244.10 and 570.10

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Solution

The fourth proportional to 901.99, 1,244.10 and 570.10 is: 786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.99 : 1,244.10 = 570.10 : x
  2. Step 2: Convert to fraction form
    901.99/1,244.10 = 570.10/x
  3. Step 3: Cross multiply
    901.99x = 1,244.10 × 570.10
  4. Step 4: Simplify right side
    901.99x = 709,261.41
  5. Step 5: Solve for x
    x = 709,261.41/901.99
  6. Step 6: Final answer
    x = 786.33

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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.