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Finding the Fourth Proportional to 1,598.55, 2,396.88 and 611.46

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Solution

The fourth proportional to 1,598.55, 2,396.88 and 611.46 is: 916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.55 : 2,396.88 = 611.46 : x
  2. Step 2: Convert to fraction form
    1,598.55/2,396.88 = 611.46/x
  3. Step 3: Cross multiply
    1,598.55x = 2,396.88 × 611.46
  4. Step 4: Simplify right side
    1,598.55x = 1,465,596.24
  5. Step 5: Solve for x
    x = 1,465,596.24/1,598.55
  6. Step 6: Final answer
    x = 916.83

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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.