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Finding the Fourth Proportional to 919.02, 1,267.56 and 587.10

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Solution

The fourth proportional to 919.02, 1,267.56 and 587.10 is: 809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.02 : 1,267.56 = 587.10 : x
  2. Step 2: Convert to fraction form
    919.02/1,267.56 = 587.10/x
  3. Step 3: Cross multiply
    919.02x = 1,267.56 × 587.10
  4. Step 4: Simplify right side
    919.02x = 744,184.48
  5. Step 5: Solve for x
    x = 744,184.48/919.02
  6. Step 6: Final answer
    x = 809.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.