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Finding the Fourth Proportional to 898.93, 1,347.22 and 435.81

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Solution

The fourth proportional to 898.93, 1,347.22 and 435.81 is: 653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.93 : 1,347.22 = 435.81 : x
  2. Step 2: Convert to fraction form
    898.93/1,347.22 = 435.81/x
  3. Step 3: Cross multiply
    898.93x = 1,347.22 × 435.81
  4. Step 4: Simplify right side
    898.93x = 587,131.95
  5. Step 5: Solve for x
    x = 587,131.95/898.93
  6. Step 6: Final answer
    x = 653.15

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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.