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Finding the Fourth Proportional to 1,599.17, 2,398.76 and 503.63

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Solution

The fourth proportional to 1,599.17, 2,398.76 and 503.63 is: 755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.17 : 2,398.76 = 503.63 : x
  2. Step 2: Convert to fraction form
    1,599.17/2,398.76 = 503.63/x
  3. Step 3: Cross multiply
    1,599.17x = 2,398.76 × 503.63
  4. Step 4: Simplify right side
    1,599.17x = 1,208,087.50
  5. Step 5: Solve for x
    x = 1,208,087.50/1,599.17
  6. Step 6: Final answer
    x = 755.45

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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.