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Finding the Fourth Proportional to 713.78, 983.88 and 492.38

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Solution

The fourth proportional to 713.78, 983.88 and 492.38 is: 678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.78 : 983.88 = 492.38 : x
  2. Step 2: Convert to fraction form
    713.78/983.88 = 492.38/x
  3. Step 3: Cross multiply
    713.78x = 983.88 × 492.38
  4. Step 4: Simplify right side
    713.78x = 484,442.83
  5. Step 5: Solve for x
    x = 484,442.83/713.78
  6. Step 6: Final answer
    x = 678.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.