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Finding the Fourth Proportional to 743.55, 1,026.48 and 577.41

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Solution

The fourth proportional to 743.55, 1,026.48 and 577.41 is: 797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.55 : 1,026.48 = 577.41 : x
  2. Step 2: Convert to fraction form
    743.55/1,026.48 = 577.41/x
  3. Step 3: Cross multiply
    743.55x = 1,026.48 × 577.41
  4. Step 4: Simplify right side
    743.55x = 592,699.82
  5. Step 5: Solve for x
    x = 592,699.82/743.55
  6. Step 6: Final answer
    x = 797.12

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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.