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Finding the Fourth Proportional to 1,553.84, 2,330.76 and 458.98

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Solution

The fourth proportional to 1,553.84, 2,330.76 and 458.98 is: 688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.84 : 2,330.76 = 458.98 : x
  2. Step 2: Convert to fraction form
    1,553.84/2,330.76 = 458.98/x
  3. Step 3: Cross multiply
    1,553.84x = 2,330.76 × 458.98
  4. Step 4: Simplify right side
    1,553.84x = 1,069,772.22
  5. Step 5: Solve for x
    x = 1,069,772.22/1,553.84
  6. Step 6: Final answer
    x = 688.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.