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Finding the Fourth Proportional to 743.95, 1,026.65 and 429.24

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Solution

The fourth proportional to 743.95, 1,026.65 and 429.24 is: 592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.95 : 1,026.65 = 429.24 : x
  2. Step 2: Convert to fraction form
    743.95/1,026.65 = 429.24/x
  3. Step 3: Cross multiply
    743.95x = 1,026.65 × 429.24
  4. Step 4: Simplify right side
    743.95x = 440,679.25
  5. Step 5: Solve for x
    x = 440,679.25/743.95
  6. Step 6: Final answer
    x = 592.35

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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.