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Finding the Fourth Proportional to 897.03, 1,344.63 and 434.13

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Solution

The fourth proportional to 897.03, 1,344.63 and 434.13 is: 650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.03 : 1,344.63 = 434.13 : x
  2. Step 2: Convert to fraction form
    897.03/1,344.63 = 434.13/x
  3. Step 3: Cross multiply
    897.03x = 1,344.63 × 434.13
  4. Step 4: Simplify right side
    897.03x = 583,744.22
  5. Step 5: Solve for x
    x = 583,744.22/897.03
  6. Step 6: Final answer
    x = 650.75

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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.