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Finding the Fourth Proportional to 1,598.50, 2,398.08 and 624.67

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Solution

The fourth proportional to 1,598.50, 2,398.08 and 624.67 is: 937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.50 : 2,398.08 = 624.67 : x
  2. Step 2: Convert to fraction form
    1,598.50/2,398.08 = 624.67/x
  3. Step 3: Cross multiply
    1,598.50x = 2,398.08 × 624.67
  4. Step 4: Simplify right side
    1,598.50x = 1,498,008.63
  5. Step 5: Solve for x
    x = 1,498,008.63/1,598.50
  6. Step 6: Final answer
    x = 937.13

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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.