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Finding the Fourth Proportional to 705.63, 1,058.14 and 637.80

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Solution

The fourth proportional to 705.63, 1,058.14 and 637.80 is: 956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.63 : 1,058.14 = 637.80 : x
  2. Step 2: Convert to fraction form
    705.63/1,058.14 = 637.80/x
  3. Step 3: Cross multiply
    705.63x = 1,058.14 × 637.80
  4. Step 4: Simplify right side
    705.63x = 674,881.69
  5. Step 5: Solve for x
    x = 674,881.69/705.63
  6. Step 6: Final answer
    x = 956.42

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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.