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Finding the Fourth Proportional to 706.20, 972.54 and 509.40

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Solution

The fourth proportional to 706.20, 972.54 and 509.40 is: 701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.20 : 972.54 = 509.40 : x
  2. Step 2: Convert to fraction form
    706.20/972.54 = 509.40/x
  3. Step 3: Cross multiply
    706.20x = 972.54 × 509.40
  4. Step 4: Simplify right side
    706.20x = 495,411.88
  5. Step 5: Solve for x
    x = 495,411.88/706.20
  6. Step 6: Final answer
    x = 701.52

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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.