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Finding the Fourth Proportional to 706.12, 1,058.57 and 340.41

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Solution

The fourth proportional to 706.12, 1,058.57 and 340.41 is: 510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.12 : 1,058.57 = 340.41 : x
  2. Step 2: Convert to fraction form
    706.12/1,058.57 = 340.41/x
  3. Step 3: Cross multiply
    706.12x = 1,058.57 × 340.41
  4. Step 4: Simplify right side
    706.12x = 360,347.81
  5. Step 5: Solve for x
    x = 360,347.81/706.12
  6. Step 6: Final answer
    x = 510.32

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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.