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Finding the Fourth Proportional to 873.64, 1,309.72 and 386.43

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Solution

The fourth proportional to 873.64, 1,309.72 and 386.43 is: 579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.64 : 1,309.72 = 386.43 : x
  2. Step 2: Convert to fraction form
    873.64/1,309.72 = 386.43/x
  3. Step 3: Cross multiply
    873.64x = 1,309.72 × 386.43
  4. Step 4: Simplify right side
    873.64x = 506,115.10
  5. Step 5: Solve for x
    x = 506,115.10/873.64
  6. Step 6: Final answer
    x = 579.32

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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.