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Finding the Fourth Proportional to 852.63, 1,176.36 and 521.01

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Solution

The fourth proportional to 852.63, 1,176.36 and 521.01 is: 718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.63 : 1,176.36 = 521.01 : x
  2. Step 2: Convert to fraction form
    852.63/1,176.36 = 521.01/x
  3. Step 3: Cross multiply
    852.63x = 1,176.36 × 521.01
  4. Step 4: Simplify right side
    852.63x = 612,895.32
  5. Step 5: Solve for x
    x = 612,895.32/852.63
  6. Step 6: Final answer
    x = 718.83

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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.