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Finding the Fourth Proportional to 897.29, 1,345.02 and 434.78

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Solution

The fourth proportional to 897.29, 1,345.02 and 434.78 is: 651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.29 : 1,345.02 = 434.78 : x
  2. Step 2: Convert to fraction form
    897.29/1,345.02 = 434.78/x
  3. Step 3: Cross multiply
    897.29x = 1,345.02 × 434.78
  4. Step 4: Simplify right side
    897.29x = 584,787.80
  5. Step 5: Solve for x
    x = 584,787.80/897.29
  6. Step 6: Final answer
    x = 651.73

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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.