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Finding the Fourth Proportional to 705.66, 1,058.98 and 413

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Solution

The fourth proportional to 705.66, 1,058.98 and 413 is: 619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.66 : 1,058.98 = 413 : x
  2. Step 2: Convert to fraction form
    705.66/1,058.98 = 413/x
  3. Step 3: Cross multiply
    705.66x = 1,058.98 × 413
  4. Step 4: Simplify right side
    705.66x = 437,358.74
  5. Step 5: Solve for x
    x = 437,358.74/705.66
  6. Step 6: Final answer
    x = 619.79

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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.