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Finding the Fourth Proportional to 994.17, 1,491.51 and 702.25

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Solution

The fourth proportional to 994.17, 1,491.51 and 702.25 is: 1,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.17 : 1,491.51 = 702.25 : x
  2. Step 2: Convert to fraction form
    994.17/1,491.51 = 702.25/x
  3. Step 3: Cross multiply
    994.17x = 1,491.51 × 702.25
  4. Step 4: Simplify right side
    994.17x = 1,047,412.60
  5. Step 5: Solve for x
    x = 1,047,412.60/994.17
  6. Step 6: Final answer
    x = 1,053.55

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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.