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Finding the Fourth Proportional to 678.19, 1,018.83 and 585.94

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Solution

The fourth proportional to 678.19, 1,018.83 and 585.94 is: 880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.19 : 1,018.83 = 585.94 : x
  2. Step 2: Convert to fraction form
    678.19/1,018.83 = 585.94/x
  3. Step 3: Cross multiply
    678.19x = 1,018.83 × 585.94
  4. Step 4: Simplify right side
    678.19x = 596,973.25
  5. Step 5: Solve for x
    x = 596,973.25/678.19
  6. Step 6: Final answer
    x = 880.24

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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.