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Finding the Fourth Proportional to 1,068.66, 1,462.07 and 1,064.05

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Solution

The fourth proportional to 1,068.66, 1,462.07 and 1,064.05 is: 1,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.66 : 1,462.07 = 1,064.05 : x
  2. Step 2: Convert to fraction form
    1,068.66/1,462.07 = 1,064.05/x
  3. Step 3: Cross multiply
    1,068.66x = 1,462.07 × 1,064.05
  4. Step 4: Simplify right side
    1,068.66x = 1,555,715.58
  5. Step 5: Solve for x
    x = 1,555,715.58/1,068.66
  6. Step 6: Final answer
    x = 1,455.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.