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Finding the Fourth Proportional to 1,404.08, 1,937.56 and 782.96

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Solution

The fourth proportional to 1,404.08, 1,937.56 and 782.96 is: 1,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.08 : 1,937.56 = 782.96 : x
  2. Step 2: Convert to fraction form
    1,404.08/1,937.56 = 782.96/x
  3. Step 3: Cross multiply
    1,404.08x = 1,937.56 × 782.96
  4. Step 4: Simplify right side
    1,404.08x = 1,517,031.98
  5. Step 5: Solve for x
    x = 1,517,031.98/1,404.08
  6. Step 6: Final answer
    x = 1,080.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.