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Finding the Fourth Proportional to 929.68, 1,282.83 and 536.83

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Solution

The fourth proportional to 929.68, 1,282.83 and 536.83 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.68 : 1,282.83 = 536.83 : x
  2. Step 2: Convert to fraction form
    929.68/1,282.83 = 536.83/x
  3. Step 3: Cross multiply
    929.68x = 1,282.83 × 536.83
  4. Step 4: Simplify right side
    929.68x = 688,661.63
  5. Step 5: Solve for x
    x = 688,661.63/929.68
  6. Step 6: Final answer
    x = 740.75

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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.