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Finding the Fourth Proportional to 743.77, 1,026.71 and 511.03

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Solution

The fourth proportional to 743.77, 1,026.71 and 511.03 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.77 : 1,026.71 = 511.03 : x
  2. Step 2: Convert to fraction form
    743.77/1,026.71 = 511.03/x
  3. Step 3: Cross multiply
    743.77x = 1,026.71 × 511.03
  4. Step 4: Simplify right side
    743.77x = 524,679.61
  5. Step 5: Solve for x
    x = 524,679.61/743.77
  6. Step 6: Final answer
    x = 705.43

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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.