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Finding the Fourth Proportional to 804.36, 1,205.64 and 530.64

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Solution

The fourth proportional to 804.36, 1,205.64 and 530.64 is: 795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.36 : 1,205.64 = 530.64 : x
  2. Step 2: Convert to fraction form
    804.36/1,205.64 = 530.64/x
  3. Step 3: Cross multiply
    804.36x = 1,205.64 × 530.64
  4. Step 4: Simplify right side
    804.36x = 639,760.81
  5. Step 5: Solve for x
    x = 639,760.81/804.36
  6. Step 6: Final answer
    x = 795.37

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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.