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Finding the Fourth Proportional to 743.04, 1,024.54 and 556.22

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Solution

The fourth proportional to 743.04, 1,024.54 and 556.22 is: 766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.04 : 1,024.54 = 556.22 : x
  2. Step 2: Convert to fraction form
    743.04/1,024.54 = 556.22/x
  3. Step 3: Cross multiply
    743.04x = 1,024.54 × 556.22
  4. Step 4: Simplify right side
    743.04x = 569,869.64
  5. Step 5: Solve for x
    x = 569,869.64/743.04
  6. Step 6: Final answer
    x = 766.94

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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.