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Finding the Fourth Proportional to 1,382.60, 1,907.96 and 793.10

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Solution

The fourth proportional to 1,382.60, 1,907.96 and 793.10 is: 1,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.60 : 1,907.96 = 793.10 : x
  2. Step 2: Convert to fraction form
    1,382.60/1,907.96 = 793.10/x
  3. Step 3: Cross multiply
    1,382.60x = 1,907.96 × 793.10
  4. Step 4: Simplify right side
    1,382.60x = 1,513,199.11
  5. Step 5: Solve for x
    x = 1,513,199.11/1,382.60
  6. Step 6: Final answer
    x = 1,094.46

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Why These Related Problems?

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