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Finding the Fourth Proportional to 1,557.09, 2,335.46 and 402.93

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Solution

The fourth proportional to 1,557.09, 2,335.46 and 402.93 is: 604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.09 : 2,335.46 = 402.93 : x
  2. Step 2: Convert to fraction form
    1,557.09/2,335.46 = 402.93/x
  3. Step 3: Cross multiply
    1,557.09x = 2,335.46 × 402.93
  4. Step 4: Simplify right side
    1,557.09x = 941,024.88
  5. Step 5: Solve for x
    x = 941,024.88/1,557.09
  6. Step 6: Final answer
    x = 604.35

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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.