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Finding the Fourth Proportional to 898.18, 1,346.04 and 465.64

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Solution

The fourth proportional to 898.18, 1,346.04 and 465.64 is: 697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.18 : 1,346.04 = 465.64 : x
  2. Step 2: Convert to fraction form
    898.18/1,346.04 = 465.64/x
  3. Step 3: Cross multiply
    898.18x = 1,346.04 × 465.64
  4. Step 4: Simplify right side
    898.18x = 626,770.07
  5. Step 5: Solve for x
    x = 626,770.07/898.18
  6. Step 6: Final answer
    x = 697.82

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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.