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Finding the Fourth Proportional to 563.04, 842.58 and 525.24

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Solution

The fourth proportional to 563.04, 842.58 and 525.24 is: 786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.04 : 842.58 = 525.24 : x
  2. Step 2: Convert to fraction form
    563.04/842.58 = 525.24/x
  3. Step 3: Cross multiply
    563.04x = 842.58 × 525.24
  4. Step 4: Simplify right side
    563.04x = 442,556.72
  5. Step 5: Solve for x
    x = 442,556.72/563.04
  6. Step 6: Final answer
    x = 786.01

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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.