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Finding the Fourth Proportional to 1,598.90, 2,398.74 and 503.26

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Solution

The fourth proportional to 1,598.90, 2,398.74 and 503.26 is: 755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.90 : 2,398.74 = 503.26 : x
  2. Step 2: Convert to fraction form
    1,598.90/2,398.74 = 503.26/x
  3. Step 3: Cross multiply
    1,598.90x = 2,398.74 × 503.26
  4. Step 4: Simplify right side
    1,598.90x = 1,207,189.89
  5. Step 5: Solve for x
    x = 1,207,189.89/1,598.90
  6. Step 6: Final answer
    x = 755.01

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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.