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Finding the Fourth Proportional to 678.02, 1,014.60 and 587.03

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Solution

The fourth proportional to 678.02, 1,014.60 and 587.03 is: 878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.02 : 1,014.60 = 587.03 : x
  2. Step 2: Convert to fraction form
    678.02/1,014.60 = 587.03/x
  3. Step 3: Cross multiply
    678.02x = 1,014.60 × 587.03
  4. Step 4: Simplify right side
    678.02x = 595,600.64
  5. Step 5: Solve for x
    x = 595,600.64/678.02
  6. Step 6: Final answer
    x = 878.44

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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.