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Finding the Fourth Proportional to 930.25, 1,283.75 and 581.14

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Solution

The fourth proportional to 930.25, 1,283.75 and 581.14 is: 801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.25 : 1,283.75 = 581.14 : x
  2. Step 2: Convert to fraction form
    930.25/1,283.75 = 581.14/x
  3. Step 3: Cross multiply
    930.25x = 1,283.75 × 581.14
  4. Step 4: Simplify right side
    930.25x = 746,038.48
  5. Step 5: Solve for x
    x = 746,038.48/930.25
  6. Step 6: Final answer
    x = 801.98

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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.