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Finding the Fourth Proportional to 897.76, 1,239 and 524.86

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Solution

The fourth proportional to 897.76, 1,239 and 524.86 is: 724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.76 : 1,239 = 524.86 : x
  2. Step 2: Convert to fraction form
    897.76/1,239 = 524.86/x
  3. Step 3: Cross multiply
    897.76x = 1,239 × 524.86
  4. Step 4: Simplify right side
    897.76x = 650,298.44
  5. Step 5: Solve for x
    x = 650,298.44/897.76
  6. Step 6: Final answer
    x = 724.36

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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.