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Finding the Fourth Proportional to 678.64, 1,016.54 and 313.74

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Solution

The fourth proportional to 678.64, 1,016.54 and 313.74 is: 469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.64 : 1,016.54 = 313.74 : x
  2. Step 2: Convert to fraction form
    678.64/1,016.54 = 313.74/x
  3. Step 3: Cross multiply
    678.64x = 1,016.54 × 313.74
  4. Step 4: Simplify right side
    678.64x = 318,929.26
  5. Step 5: Solve for x
    x = 318,929.26/678.64
  6. Step 6: Final answer
    x = 469.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.