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Finding the Fourth Proportional to 678.95, 1,018.64 and 313.53

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Solution

The fourth proportional to 678.95, 1,018.64 and 313.53 is: 470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.95 : 1,018.64 = 313.53 : x
  2. Step 2: Convert to fraction form
    678.95/1,018.64 = 313.53/x
  3. Step 3: Cross multiply
    678.95x = 1,018.64 × 313.53
  4. Step 4: Simplify right side
    678.95x = 319,374.20
  5. Step 5: Solve for x
    x = 319,374.20/678.95
  6. Step 6: Final answer
    x = 470.39

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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.