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Finding the Fourth Proportional to 897.16, 1,346.82 and 607.72

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Solution

The fourth proportional to 897.16, 1,346.82 and 607.72 is: 912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.16 : 1,346.82 = 607.72 : x
  2. Step 2: Convert to fraction form
    897.16/1,346.82 = 607.72/x
  3. Step 3: Cross multiply
    897.16x = 1,346.82 × 607.72
  4. Step 4: Simplify right side
    897.16x = 818,489.45
  5. Step 5: Solve for x
    x = 818,489.45/897.16
  6. Step 6: Final answer
    x = 912.31

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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.