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Finding the Fourth Proportional to 929.76, 1,397.69 and 922.47

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Solution

The fourth proportional to 929.76, 1,397.69 and 922.47 is: 1,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.76 : 1,397.69 = 922.47 : x
  2. Step 2: Convert to fraction form
    929.76/1,397.69 = 922.47/x
  3. Step 3: Cross multiply
    929.76x = 1,397.69 × 922.47
  4. Step 4: Simplify right side
    929.76x = 1,289,322.48
  5. Step 5: Solve for x
    x = 1,289,322.48/929.76
  6. Step 6: Final answer
    x = 1,386.73

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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.