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Finding the Fourth Proportional to 919.68, 1,269.14 and 500.02

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Solution

The fourth proportional to 919.68, 1,269.14 and 500.02 is: 690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.68 : 1,269.14 = 500.02 : x
  2. Step 2: Convert to fraction form
    919.68/1,269.14 = 500.02/x
  3. Step 3: Cross multiply
    919.68x = 1,269.14 × 500.02
  4. Step 4: Simplify right side
    919.68x = 634,595.38
  5. Step 5: Solve for x
    x = 634,595.38/919.68
  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.