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Finding the Fourth Proportional to 929.69, 1,282.93 and 536.84

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Solution

The fourth proportional to 929.69, 1,282.93 and 536.84 is: 740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.69 : 1,282.93 = 536.84 : x
  2. Step 2: Convert to fraction form
    929.69/1,282.93 = 536.84/x
  3. Step 3: Cross multiply
    929.69x = 1,282.93 × 536.84
  4. Step 4: Simplify right side
    929.69x = 688,729.07
  5. Step 5: Solve for x
    x = 688,729.07/929.69
  6. Step 6: Final answer
    x = 740.81

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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.