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Finding the Fourth Proportional to 926.08, 1,386.24 and 832.16

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Solution

The fourth proportional to 926.08, 1,386.24 and 832.16 is: 1,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.08 : 1,386.24 = 832.16 : x
  2. Step 2: Convert to fraction form
    926.08/1,386.24 = 832.16/x
  3. Step 3: Cross multiply
    926.08x = 1,386.24 × 832.16
  4. Step 4: Simplify right side
    926.08x = 1,153,573.48
  5. Step 5: Solve for x
    x = 1,153,573.48/926.08
  6. Step 6: Final answer
    x = 1,245.65

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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.