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Finding the Fourth Proportional to 880.10, 1,319.66 and 509.83

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Solution

The fourth proportional to 880.10, 1,319.66 and 509.83 is: 764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.10 : 1,319.66 = 509.83 : x
  2. Step 2: Convert to fraction form
    880.10/1,319.66 = 509.83/x
  3. Step 3: Cross multiply
    880.10x = 1,319.66 × 509.83
  4. Step 4: Simplify right side
    880.10x = 672,798.32
  5. Step 5: Solve for x
    x = 672,798.32/880.10
  6. Step 6: Final answer
    x = 764.46

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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.