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Finding the Fourth Proportional to 706.46, 975.91 and 511

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Solution

The fourth proportional to 706.46, 975.91 and 511 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 975.91 = 511 : x
  2. Step 2: Convert to fraction form
    706.46/975.91 = 511/x
  3. Step 3: Cross multiply
    706.46x = 975.91 × 511
  4. Step 4: Simplify right side
    706.46x = 498,690.01
  5. Step 5: Solve for x
    x = 498,690.01/706.46
  6. Step 6: Final answer
    x = 705.90

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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.