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Finding the Fourth Proportional to 931.05, 1,285.45 and 577.35

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Solution

The fourth proportional to 931.05, 1,285.45 and 577.35 is: 797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.05 : 1,285.45 = 577.35 : x
  2. Step 2: Convert to fraction form
    931.05/1,285.45 = 577.35/x
  3. Step 3: Cross multiply
    931.05x = 1,285.45 × 577.35
  4. Step 4: Simplify right side
    931.05x = 742,146.69
  5. Step 5: Solve for x
    x = 742,146.69/931.05
  6. Step 6: Final answer
    x = 797.11

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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.