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Finding the Fourth Proportional to 804.91, 1,205.78 and 530.16

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Solution

The fourth proportional to 804.91, 1,205.78 and 530.16 is: 794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.91 : 1,205.78 = 530.16 : x
  2. Step 2: Convert to fraction form
    804.91/1,205.78 = 530.16/x
  3. Step 3: Cross multiply
    804.91x = 1,205.78 × 530.16
  4. Step 4: Simplify right side
    804.91x = 639,260.82
  5. Step 5: Solve for x
    x = 639,260.82/804.91
  6. Step 6: Final answer
    x = 794.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.