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Finding the Fourth Proportional to 873.86, 1,313.42 and 509.36

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Solution

The fourth proportional to 873.86, 1,313.42 and 509.36 is: 765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.86 : 1,313.42 = 509.36 : x
  2. Step 2: Convert to fraction form
    873.86/1,313.42 = 509.36/x
  3. Step 3: Cross multiply
    873.86x = 1,313.42 × 509.36
  4. Step 4: Simplify right side
    873.86x = 668,994.50
  5. Step 5: Solve for x
    x = 668,994.50/873.86
  6. Step 6: Final answer
    x = 765.57

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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.