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Finding the Fourth Proportional to 897.04, 1,346.10 and 512.56

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Solution

The fourth proportional to 897.04, 1,346.10 and 512.56 is: 769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.04 : 1,346.10 = 512.56 : x
  2. Step 2: Convert to fraction form
    897.04/1,346.10 = 512.56/x
  3. Step 3: Cross multiply
    897.04x = 1,346.10 × 512.56
  4. Step 4: Simplify right side
    897.04x = 689,957.02
  5. Step 5: Solve for x
    x = 689,957.02/897.04
  6. Step 6: Final answer
    x = 769.15

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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.