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Finding the Fourth Proportional to 763.05, 1,148.70 and 695.01

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Solution

The fourth proportional to 763.05, 1,148.70 and 695.01 is: 1,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.05 : 1,148.70 = 695.01 : x
  2. Step 2: Convert to fraction form
    763.05/1,148.70 = 695.01/x
  3. Step 3: Cross multiply
    763.05x = 1,148.70 × 695.01
  4. Step 4: Simplify right side
    763.05x = 798,357.99
  5. Step 5: Solve for x
    x = 798,357.99/763.05
  6. Step 6: Final answer
    x = 1,046.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.