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Finding the Fourth Proportional to 761.58, 1,051.68 and 720.66

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Solution

The fourth proportional to 761.58, 1,051.68 and 720.66 is: 995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.58 : 1,051.68 = 720.66 : x
  2. Step 2: Convert to fraction form
    761.58/1,051.68 = 720.66/x
  3. Step 3: Cross multiply
    761.58x = 1,051.68 × 720.66
  4. Step 4: Simplify right side
    761.58x = 757,903.71
  5. Step 5: Solve for x
    x = 757,903.71/761.58
  6. Step 6: Final answer
    x = 995.17

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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.