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Finding the Fourth Proportional to 566.77, 846.02 and 525.04

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Solution

The fourth proportional to 566.77, 846.02 and 525.04 is: 783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.77 : 846.02 = 525.04 : x
  2. Step 2: Convert to fraction form
    566.77/846.02 = 525.04/x
  3. Step 3: Cross multiply
    566.77x = 846.02 × 525.04
  4. Step 4: Simplify right side
    566.77x = 444,190.59
  5. Step 5: Solve for x
    x = 444,190.59/566.77
  6. Step 6: Final answer
    x = 783.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.