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Finding the Fourth Proportional to 742.77, 1,025.33 and 510.03

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Solution

The fourth proportional to 742.77, 1,025.33 and 510.03 is: 704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.77 : 1,025.33 = 510.03 : x
  2. Step 2: Convert to fraction form
    742.77/1,025.33 = 510.03/x
  3. Step 3: Cross multiply
    742.77x = 1,025.33 × 510.03
  4. Step 4: Simplify right side
    742.77x = 522,946.51
  5. Step 5: Solve for x
    x = 522,946.51/742.77
  6. Step 6: Final answer
    x = 704.05

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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.