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Finding the Fourth Proportional to 706.12, 972.93 and 509.29

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Solution

The fourth proportional to 706.12, 972.93 and 509.29 is: 701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.12 : 972.93 = 509.29 : x
  2. Step 2: Convert to fraction form
    706.12/972.93 = 509.29/x
  3. Step 3: Cross multiply
    706.12x = 972.93 × 509.29
  4. Step 4: Simplify right side
    706.12x = 495,503.52
  5. Step 5: Solve for x
    x = 495,503.52/706.12
  6. Step 6: Final answer
    x = 701.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.