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Finding the Fourth Proportional to 931.84, 1,285.77 and 538.72

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Solution

The fourth proportional to 931.84, 1,285.77 and 538.72 is: 743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.84 : 1,285.77 = 538.72 : x
  2. Step 2: Convert to fraction form
    931.84/1,285.77 = 538.72/x
  3. Step 3: Cross multiply
    931.84x = 1,285.77 × 538.72
  4. Step 4: Simplify right side
    931.84x = 692,670.01
  5. Step 5: Solve for x
    x = 692,670.01/931.84
  6. Step 6: Final answer
    x = 743.34

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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.