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Finding the Fourth Proportional to 901.74, 1,244.64 and 586.98

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Solution

The fourth proportional to 901.74, 1,244.64 and 586.98 is: 810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.74 : 1,244.64 = 586.98 : x
  2. Step 2: Convert to fraction form
    901.74/1,244.64 = 586.98/x
  3. Step 3: Cross multiply
    901.74x = 1,244.64 × 586.98
  4. Step 4: Simplify right side
    901.74x = 730,578.79
  5. Step 5: Solve for x
    x = 730,578.79/901.74
  6. Step 6: Final answer
    x = 810.19

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