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Finding the Fourth Proportional to 919.64, 1,269.13 and 500.01

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Solution

The fourth proportional to 919.64, 1,269.13 and 500.01 is: 690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.64 : 1,269.13 = 500.01 : x
  2. Step 2: Convert to fraction form
    919.64/1,269.13 = 500.01/x
  3. Step 3: Cross multiply
    919.64x = 1,269.13 × 500.01
  4. Step 4: Simplify right side
    919.64x = 634,571.21
  5. Step 5: Solve for x
    x = 634,571.21/919.64
  6. Step 6: Final answer
    x = 690.02

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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.