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Finding the Fourth Proportional to 944.49, 1,300.95 and 678.54

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Solution

The fourth proportional to 944.49, 1,300.95 and 678.54 is: 934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.49 : 1,300.95 = 678.54 : x
  2. Step 2: Convert to fraction form
    944.49/1,300.95 = 678.54/x
  3. Step 3: Cross multiply
    944.49x = 1,300.95 × 678.54
  4. Step 4: Simplify right side
    944.49x = 882,746.61
  5. Step 5: Solve for x
    x = 882,746.61/944.49
  6. Step 6: Final answer
    x = 934.63

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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.