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Finding the Fourth Proportional to 897.99, 1,346.64 and 435.61

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Solution

The fourth proportional to 897.99, 1,346.64 and 435.61 is: 653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.99 : 1,346.64 = 435.61 : x
  2. Step 2: Convert to fraction form
    897.99/1,346.64 = 435.61/x
  3. Step 3: Cross multiply
    897.99x = 1,346.64 × 435.61
  4. Step 4: Simplify right side
    897.99x = 586,609.85
  5. Step 5: Solve for x
    x = 586,609.85/897.99
  6. Step 6: Final answer
    x = 653.25

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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.