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Finding the Fourth Proportional to 1,042.98, 1,564.28 and 522.42

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Solution

The fourth proportional to 1,042.98, 1,564.28 and 522.42 is: 783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.98 : 1,564.28 = 522.42 : x
  2. Step 2: Convert to fraction form
    1,042.98/1,564.28 = 522.42/x
  3. Step 3: Cross multiply
    1,042.98x = 1,564.28 × 522.42
  4. Step 4: Simplify right side
    1,042.98x = 817,204.64
  5. Step 5: Solve for x
    x = 817,204.64/1,042.98
  6. Step 6: Final answer
    x = 783.53

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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.