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Finding the Fourth Proportional to 804.71, 1,207.07 and 530.98

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Solution

The fourth proportional to 804.71, 1,207.07 and 530.98 is: 796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.71 : 1,207.07 = 530.98 : x
  2. Step 2: Convert to fraction form
    804.71/1,207.07 = 530.98/x
  3. Step 3: Cross multiply
    804.71x = 1,207.07 × 530.98
  4. Step 4: Simplify right side
    804.71x = 640,930.03
  5. Step 5: Solve for x
    x = 640,930.03/804.71
  6. Step 6: Final answer
    x = 796.47

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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.