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Finding the Fourth Proportional to 869.90, 1,303.83 and 436.16

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Solution

The fourth proportional to 869.90, 1,303.83 and 436.16 is: 653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.90 : 1,303.83 = 436.16 : x
  2. Step 2: Convert to fraction form
    869.90/1,303.83 = 436.16/x
  3. Step 3: Cross multiply
    869.90x = 1,303.83 × 436.16
  4. Step 4: Simplify right side
    869.90x = 568,678.49
  5. Step 5: Solve for x
    x = 568,678.49/869.90
  6. Step 6: Final answer
    x = 653.73

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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.