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Finding the Fourth Proportional to 897.04, 1,344.56 and 434.48

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Solution

The fourth proportional to 897.04, 1,344.56 and 434.48 is: 651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.04 : 1,344.56 = 434.48 : x
  2. Step 2: Convert to fraction form
    897.04/1,344.56 = 434.48/x
  3. Step 3: Cross multiply
    897.04x = 1,344.56 × 434.48
  4. Step 4: Simplify right side
    897.04x = 584,184.43
  5. Step 5: Solve for x
    x = 584,184.43/897.04
  6. Step 6: Final answer
    x = 651.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.