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Finding the Fourth Proportional to 972.81, 1,459.58 and 583.09

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Solution

The fourth proportional to 972.81, 1,459.58 and 583.09 is: 874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.81 : 1,459.58 = 583.09 : x
  2. Step 2: Convert to fraction form
    972.81/1,459.58 = 583.09/x
  3. Step 3: Cross multiply
    972.81x = 1,459.58 × 583.09
  4. Step 4: Simplify right side
    972.81x = 851,069.78
  5. Step 5: Solve for x
    x = 851,069.78/972.81
  6. Step 6: Final answer
    x = 874.85

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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.