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Finding the Fourth Proportional to 988.58, 1,364.24 and 546.47

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Solution

The fourth proportional to 988.58, 1,364.24 and 546.47 is: 754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.58 : 1,364.24 = 546.47 : x
  2. Step 2: Convert to fraction form
    988.58/1,364.24 = 546.47/x
  3. Step 3: Cross multiply
    988.58x = 1,364.24 × 546.47
  4. Step 4: Simplify right side
    988.58x = 745,516.23
  5. Step 5: Solve for x
    x = 745,516.23/988.58
  6. Step 6: Final answer
    x = 754.13

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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.