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Finding the Fourth Proportional to 772.16, 1,066.01 and 510.63

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Solution

The fourth proportional to 772.16, 1,066.01 and 510.63 is: 704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.16 : 1,066.01 = 510.63 : x
  2. Step 2: Convert to fraction form
    772.16/1,066.01 = 510.63/x
  3. Step 3: Cross multiply
    772.16x = 1,066.01 × 510.63
  4. Step 4: Simplify right side
    772.16x = 544,330.14
  5. Step 5: Solve for x
    x = 544,330.14/772.16
  6. Step 6: Final answer
    x = 704.95

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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.