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Finding the Fourth Proportional to 929.79, 1,282.64 and 618.75

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Solution

The fourth proportional to 929.79, 1,282.64 and 618.75 is: 853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.79 : 1,282.64 = 618.75 : x
  2. Step 2: Convert to fraction form
    929.79/1,282.64 = 618.75/x
  3. Step 3: Cross multiply
    929.79x = 1,282.64 × 618.75
  4. Step 4: Simplify right side
    929.79x = 793,630.41
  5. Step 5: Solve for x
    x = 793,630.41/929.79
  6. Step 6: Final answer
    x = 853.56

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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.