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Finding the Fourth Proportional to 1,553.89, 2,330.85 and 459.01

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Solution

The fourth proportional to 1,553.89, 2,330.85 and 459.01 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.89 : 2,330.85 = 459.01 : x
  2. Step 2: Convert to fraction form
    1,553.89/2,330.85 = 459.01/x
  3. Step 3: Cross multiply
    1,553.89x = 2,330.85 × 459.01
  4. Step 4: Simplify right side
    1,553.89x = 1,069,883.46
  5. Step 5: Solve for x
    x = 1,069,883.46/1,553.89
  6. Step 6: Final answer
    x = 688.52

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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.