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Finding the Fourth Proportional to 706.07, 1,058.16 and 335.63

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Solution

The fourth proportional to 706.07, 1,058.16 and 335.63 is: 503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.07 : 1,058.16 = 335.63 : x
  2. Step 2: Convert to fraction form
    706.07/1,058.16 = 335.63/x
  3. Step 3: Cross multiply
    706.07x = 1,058.16 × 335.63
  4. Step 4: Simplify right side
    706.07x = 355,150.24
  5. Step 5: Solve for x
    x = 355,150.24/706.07
  6. Step 6: Final answer
    x = 503.00

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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.