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Finding the Fourth Proportional to 1,056.78, 1,583.13 and 798.45

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Solution

The fourth proportional to 1,056.78, 1,583.13 and 798.45 is: 1,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.78 : 1,583.13 = 798.45 : x
  2. Step 2: Convert to fraction form
    1,056.78/1,583.13 = 798.45/x
  3. Step 3: Cross multiply
    1,056.78x = 1,583.13 × 798.45
  4. Step 4: Simplify right side
    1,056.78x = 1,264,050.15
  5. Step 5: Solve for x
    x = 1,264,050.15/1,056.78
  6. Step 6: Final answer
    x = 1,196.13

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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.