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Finding the Fourth Proportional to 1,317.98, 1,817.96 and 793.50

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Solution

The fourth proportional to 1,317.98, 1,817.96 and 793.50 is: 1,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.98 : 1,817.96 = 793.50 : x
  2. Step 2: Convert to fraction form
    1,317.98/1,817.96 = 793.50/x
  3. Step 3: Cross multiply
    1,317.98x = 1,817.96 × 793.50
  4. Step 4: Simplify right side
    1,317.98x = 1,442,547.29
  5. Step 5: Solve for x
    x = 1,442,547.29/1,317.98
  6. Step 6: Final answer
    x = 1,094.52

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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.