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Finding the Fourth Proportional to 929.22, 1,281.58 and 556.22

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Solution

The fourth proportional to 929.22, 1,281.58 and 556.22 is: 767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.22 : 1,281.58 = 556.22 : x
  2. Step 2: Convert to fraction form
    929.22/1,281.58 = 556.22/x
  3. Step 3: Cross multiply
    929.22x = 1,281.58 × 556.22
  4. Step 4: Simplify right side
    929.22x = 712,840.43
  5. Step 5: Solve for x
    x = 712,840.43/929.22
  6. Step 6: Final answer
    x = 767.14

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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.