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Finding the Fourth Proportional to 830.88, 1,244.07 and 570.24

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Solution

The fourth proportional to 830.88, 1,244.07 and 570.24 is: 853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.88 : 1,244.07 = 570.24 : x
  2. Step 2: Convert to fraction form
    830.88/1,244.07 = 570.24/x
  3. Step 3: Cross multiply
    830.88x = 1,244.07 × 570.24
  4. Step 4: Simplify right side
    830.88x = 709,418.48
  5. Step 5: Solve for x
    x = 709,418.48/830.88
  6. Step 6: Final answer
    x = 853.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.