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Finding the Fourth Proportional to 931.50, 1,285.20 and 538.47

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Solution

The fourth proportional to 931.50, 1,285.20 and 538.47 is: 742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.50 : 1,285.20 = 538.47 : x
  2. Step 2: Convert to fraction form
    931.50/1,285.20 = 538.47/x
  3. Step 3: Cross multiply
    931.50x = 1,285.20 × 538.47
  4. Step 4: Simplify right side
    931.50x = 692,041.64
  5. Step 5: Solve for x
    x = 692,041.64/931.50
  6. Step 6: Final answer
    x = 742.93

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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.