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Finding the Fourth Proportional to 897.74, 1,346.16 and 532.43

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Solution

The fourth proportional to 897.74, 1,346.16 and 532.43 is: 798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.74 : 1,346.16 = 532.43 : x
  2. Step 2: Convert to fraction form
    897.74/1,346.16 = 532.43/x
  3. Step 3: Cross multiply
    897.74x = 1,346.16 × 532.43
  4. Step 4: Simplify right side
    897.74x = 716,729.24
  5. Step 5: Solve for x
    x = 716,729.24/897.74
  6. Step 6: Final answer
    x = 798.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.