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Finding the Fourth Proportional to 1,315.36, 1,813.45 and 1,090.45

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Solution

The fourth proportional to 1,315.36, 1,813.45 and 1,090.45 is: 1,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.36 : 1,813.45 = 1,090.45 : x
  2. Step 2: Convert to fraction form
    1,315.36/1,813.45 = 1,090.45/x
  3. Step 3: Cross multiply
    1,315.36x = 1,813.45 × 1,090.45
  4. Step 4: Simplify right side
    1,315.36x = 1,977,471.10
  5. Step 5: Solve for x
    x = 1,977,471.10/1,315.36
  6. Step 6: Final answer
    x = 1,503.37

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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.