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Finding the Fourth Proportional to 803.71, 1,108.02 and 538.17

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Solution

The fourth proportional to 803.71, 1,108.02 and 538.17 is: 741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.71 : 1,108.02 = 538.17 : x
  2. Step 2: Convert to fraction form
    803.71/1,108.02 = 538.17/x
  3. Step 3: Cross multiply
    803.71x = 1,108.02 × 538.17
  4. Step 4: Simplify right side
    803.71x = 596,303.12
  5. Step 5: Solve for x
    x = 596,303.12/803.71
  6. Step 6: Final answer
    x = 741.94

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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.