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Finding the Fourth Proportional to 926.01, 1,387.83 and 463.08

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Solution

The fourth proportional to 926.01, 1,387.83 and 463.08 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.01 : 1,387.83 = 463.08 : x
  2. Step 2: Convert to fraction form
    926.01/1,387.83 = 463.08/x
  3. Step 3: Cross multiply
    926.01x = 1,387.83 × 463.08
  4. Step 4: Simplify right side
    926.01x = 642,676.32
  5. Step 5: Solve for x
    x = 642,676.32/926.01
  6. Step 6: Final answer
    x = 694.03

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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.