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Finding the Fourth Proportional to 926.61, 1,388.58 and 463.74

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Solution

The fourth proportional to 926.61, 1,388.58 and 463.74 is: 694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.61 : 1,388.58 = 463.74 : x
  2. Step 2: Convert to fraction form
    926.61/1,388.58 = 463.74/x
  3. Step 3: Cross multiply
    926.61x = 1,388.58 × 463.74
  4. Step 4: Simplify right side
    926.61x = 643,940.09
  5. Step 5: Solve for x
    x = 643,940.09/926.61
  6. Step 6: Final answer
    x = 694.94

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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.