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Finding the Fourth Proportional to 931.52, 1,285.73 and 538.77

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Solution

The fourth proportional to 931.52, 1,285.73 and 538.77 is: 743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.52 : 1,285.73 = 538.77 : x
  2. Step 2: Convert to fraction form
    931.52/1,285.73 = 538.77/x
  3. Step 3: Cross multiply
    931.52x = 1,285.73 × 538.77
  4. Step 4: Simplify right side
    931.52x = 692,712.75
  5. Step 5: Solve for x
    x = 692,712.75/931.52
  6. Step 6: Final answer
    x = 743.64

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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.