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Finding the Fourth Proportional to 762.54, 1,052.51 and 482.91

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Solution

The fourth proportional to 762.54, 1,052.51 and 482.91 is: 666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.54 : 1,052.51 = 482.91 : x
  2. Step 2: Convert to fraction form
    762.54/1,052.51 = 482.91/x
  3. Step 3: Cross multiply
    762.54x = 1,052.51 × 482.91
  4. Step 4: Simplify right side
    762.54x = 508,265.19
  5. Step 5: Solve for x
    x = 508,265.19/762.54
  6. Step 6: Final answer
    x = 666.54

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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.