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Finding the Fourth Proportional to 929.06, 1,282.05 and 556.23

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Solution

The fourth proportional to 929.06, 1,282.05 and 556.23 is: 767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.06 : 1,282.05 = 556.23 : x
  2. Step 2: Convert to fraction form
    929.06/1,282.05 = 556.23/x
  3. Step 3: Cross multiply
    929.06x = 1,282.05 × 556.23
  4. Step 4: Simplify right side
    929.06x = 713,114.67
  5. Step 5: Solve for x
    x = 713,114.67/929.06
  6. Step 6: Final answer
    x = 767.57

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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.