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Finding the Fourth Proportional to 1,599.42, 2,398.51 and 559.11

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Solution

The fourth proportional to 1,599.42, 2,398.51 and 559.11 is: 838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.42 : 2,398.51 = 559.11 : x
  2. Step 2: Convert to fraction form
    1,599.42/2,398.51 = 559.11/x
  3. Step 3: Cross multiply
    1,599.42x = 2,398.51 × 559.11
  4. Step 4: Simplify right side
    1,599.42x = 1,341,030.93
  5. Step 5: Solve for x
    x = 1,341,030.93/1,599.42
  6. Step 6: Final answer
    x = 838.45

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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.