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Finding the Fourth Proportional to 910.48, 1,364.44 and 562.64

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Solution

The fourth proportional to 910.48, 1,364.44 and 562.64 is: 843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.48 : 1,364.44 = 562.64 : x
  2. Step 2: Convert to fraction form
    910.48/1,364.44 = 562.64/x
  3. Step 3: Cross multiply
    910.48x = 1,364.44 × 562.64
  4. Step 4: Simplify right side
    910.48x = 767,688.52
  5. Step 5: Solve for x
    x = 767,688.52/910.48
  6. Step 6: Final answer
    x = 843.17

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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.