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Finding the Fourth Proportional to 820.58, 1,133.04 and 506.00

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Solution

The fourth proportional to 820.58, 1,133.04 and 506.00 is: 698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.58 : 1,133.04 = 506.00 : x
  2. Step 2: Convert to fraction form
    820.58/1,133.04 = 506.00/x
  3. Step 3: Cross multiply
    820.58x = 1,133.04 × 506.00
  4. Step 4: Simplify right side
    820.58x = 573,312.57
  5. Step 5: Solve for x
    x = 573,312.57/820.58
  6. Step 6: Final answer
    x = 698.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.