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Finding the Fourth Proportional to 897.26, 1,343.93 and 434.06

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Solution

The fourth proportional to 897.26, 1,343.93 and 434.06 is: 650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.26 : 1,343.93 = 434.06 : x
  2. Step 2: Convert to fraction form
    897.26/1,343.93 = 434.06/x
  3. Step 3: Cross multiply
    897.26x = 1,343.93 × 434.06
  4. Step 4: Simplify right side
    897.26x = 583,342.90
  5. Step 5: Solve for x
    x = 583,342.90/897.26
  6. Step 6: Final answer
    x = 650.14

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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.