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Finding the Fourth Proportional to 893.76, 1,233.46 and 562.08

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Solution

The fourth proportional to 893.76, 1,233.46 and 562.08 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.76 : 1,233.46 = 562.08 : x
  2. Step 2: Convert to fraction form
    893.76/1,233.46 = 562.08/x
  3. Step 3: Cross multiply
    893.76x = 1,233.46 × 562.08
  4. Step 4: Simplify right side
    893.76x = 693,303.20
  5. Step 5: Solve for x
    x = 693,303.20/893.76
  6. Step 6: Final answer
    x = 775.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.