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Finding the Fourth Proportional to 824.74, 1,137.28 and 707.11

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Solution

The fourth proportional to 824.74, 1,137.28 and 707.11 is: 975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.74 : 1,137.28 = 707.11 : x
  2. Step 2: Convert to fraction form
    824.74/1,137.28 = 707.11/x
  3. Step 3: Cross multiply
    824.74x = 1,137.28 × 707.11
  4. Step 4: Simplify right side
    824.74x = 804,172.84
  5. Step 5: Solve for x
    x = 804,172.84/824.74
  6. Step 6: Final answer
    x = 975.07

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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.