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Finding the Fourth Proportional to 1,598.30, 2,397.43 and 444.05

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Solution

The fourth proportional to 1,598.30, 2,397.43 and 444.05 is: 666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.30 : 2,397.43 = 444.05 : x
  2. Step 2: Convert to fraction form
    1,598.30/2,397.43 = 444.05/x
  3. Step 3: Cross multiply
    1,598.30x = 2,397.43 × 444.05
  4. Step 4: Simplify right side
    1,598.30x = 1,064,564.58
  5. Step 5: Solve for x
    x = 1,064,564.58/1,598.30
  6. Step 6: Final answer
    x = 666.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.