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Finding the Fourth Proportional to 1,584.59, 2,378.10 and 598.28

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Solution

The fourth proportional to 1,584.59, 2,378.10 and 598.28 is: 897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.59 : 2,378.10 = 598.28 : x
  2. Step 2: Convert to fraction form
    1,584.59/2,378.10 = 598.28/x
  3. Step 3: Cross multiply
    1,584.59x = 2,378.10 × 598.28
  4. Step 4: Simplify right side
    1,584.59x = 1,422,769.67
  5. Step 5: Solve for x
    x = 1,422,769.67/1,584.59
  6. Step 6: Final answer
    x = 897.88

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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.