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Finding the Fourth Proportional to 700.60, 966.14 and 511.36

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Solution

The fourth proportional to 700.60, 966.14 and 511.36 is: 705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.60 : 966.14 = 511.36 : x
  2. Step 2: Convert to fraction form
    700.60/966.14 = 511.36/x
  3. Step 3: Cross multiply
    700.60x = 966.14 × 511.36
  4. Step 4: Simplify right side
    700.60x = 494,045.35
  5. Step 5: Solve for x
    x = 494,045.35/700.60
  6. Step 6: Final answer
    x = 705.17

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