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Finding the Fourth Proportional to 1,043.01, 1,564.39 and 312.41

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Solution

The fourth proportional to 1,043.01, 1,564.39 and 312.41 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.01 : 1,564.39 = 312.41 : x
  2. Step 2: Convert to fraction form
    1,043.01/1,564.39 = 312.41/x
  3. Step 3: Cross multiply
    1,043.01x = 1,564.39 × 312.41
  4. Step 4: Simplify right side
    1,043.01x = 488,721.70
  5. Step 5: Solve for x
    x = 488,721.70/1,043.01
  6. Step 6: Final answer
    x = 468.57

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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.