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Finding the Fourth Proportional to 762.42, 1,051.86 and 482.57

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Solution

The fourth proportional to 762.42, 1,051.86 and 482.57 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.42 : 1,051.86 = 482.57 : x
  2. Step 2: Convert to fraction form
    762.42/1,051.86 = 482.57/x
  3. Step 3: Cross multiply
    762.42x = 1,051.86 × 482.57
  4. Step 4: Simplify right side
    762.42x = 507,596.58
  5. Step 5: Solve for x
    x = 507,596.58/762.42
  6. Step 6: Final answer
    x = 665.77

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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.