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Finding the Fourth Proportional to 695.09, 1,041.44 and 488.68

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Solution

The fourth proportional to 695.09, 1,041.44 and 488.68 is: 732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.09 : 1,041.44 = 488.68 : x
  2. Step 2: Convert to fraction form
    695.09/1,041.44 = 488.68/x
  3. Step 3: Cross multiply
    695.09x = 1,041.44 × 488.68
  4. Step 4: Simplify right side
    695.09x = 508,925.85
  5. Step 5: Solve for x
    x = 508,925.85/695.09
  6. Step 6: Final answer
    x = 732.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.