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Finding the Fourth Proportional to 856.20, 1,284.57 and 509.93

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Solution

The fourth proportional to 856.20, 1,284.57 and 509.93 is: 765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.20 : 1,284.57 = 509.93 : x
  2. Step 2: Convert to fraction form
    856.20/1,284.57 = 509.93/x
  3. Step 3: Cross multiply
    856.20x = 1,284.57 × 509.93
  4. Step 4: Simplify right side
    856.20x = 655,034.36
  5. Step 5: Solve for x
    x = 655,034.36/856.20
  6. Step 6: Final answer
    x = 765.05

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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.