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Finding the Fourth Proportional to 677.58, 1,014.02 and 562.24

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Solution

The fourth proportional to 677.58, 1,014.02 and 562.24 is: 841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.58 : 1,014.02 = 562.24 : x
  2. Step 2: Convert to fraction form
    677.58/1,014.02 = 562.24/x
  3. Step 3: Cross multiply
    677.58x = 1,014.02 × 562.24
  4. Step 4: Simplify right side
    677.58x = 570,122.60
  5. Step 5: Solve for x
    x = 570,122.60/677.58
  6. Step 6: Final answer
    x = 841.41

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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.