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Finding the Fourth Proportional to 663.66, 914.43 and 545.23

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Solution

The fourth proportional to 663.66, 914.43 and 545.23 is: 751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 914.43 = 545.23 : x
  2. Step 2: Convert to fraction form
    663.66/914.43 = 545.23/x
  3. Step 3: Cross multiply
    663.66x = 914.43 × 545.23
  4. Step 4: Simplify right side
    663.66x = 498,574.67
  5. Step 5: Solve for x
    x = 498,574.67/663.66
  6. Step 6: Final answer
    x = 751.25

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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.