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Finding the Fourth Proportional to 919.95, 1,269.55 and 500.32

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Solution

The fourth proportional to 919.95, 1,269.55 and 500.32 is: 690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.95 : 1,269.55 = 500.32 : x
  2. Step 2: Convert to fraction form
    919.95/1,269.55 = 500.32/x
  3. Step 3: Cross multiply
    919.95x = 1,269.55 × 500.32
  4. Step 4: Simplify right side
    919.95x = 635,181.26
  5. Step 5: Solve for x
    x = 635,181.26/919.95
  6. Step 6: Final answer
    x = 690.45

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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.