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Finding the Fourth Proportional to 1,042.99, 1,564.21 and 312.37

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Solution

The fourth proportional to 1,042.99, 1,564.21 and 312.37 is: 468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.99 : 1,564.21 = 312.37 : x
  2. Step 2: Convert to fraction form
    1,042.99/1,564.21 = 312.37/x
  3. Step 3: Cross multiply
    1,042.99x = 1,564.21 × 312.37
  4. Step 4: Simplify right side
    1,042.99x = 488,612.28
  5. Step 5: Solve for x
    x = 488,612.28/1,042.99
  6. Step 6: Final answer
    x = 468.47

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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.