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Finding the Fourth Proportional to 897.70, 1,345.73 and 434.82

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Solution

The fourth proportional to 897.70, 1,345.73 and 434.82 is: 651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.70 : 1,345.73 = 434.82 : x
  2. Step 2: Convert to fraction form
    897.70/1,345.73 = 434.82/x
  3. Step 3: Cross multiply
    897.70x = 1,345.73 × 434.82
  4. Step 4: Simplify right side
    897.70x = 585,146.23
  5. Step 5: Solve for x
    x = 585,146.23/897.70
  6. Step 6: Final answer
    x = 651.83

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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.