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Finding the Fourth Proportional to 1,145.17, 1,715.01 and 815.32

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Solution

The fourth proportional to 1,145.17, 1,715.01 and 815.32 is: 1,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.17 : 1,715.01 = 815.32 : x
  2. Step 2: Convert to fraction form
    1,145.17/1,715.01 = 815.32/x
  3. Step 3: Cross multiply
    1,145.17x = 1,715.01 × 815.32
  4. Step 4: Simplify right side
    1,145.17x = 1,398,281.95
  5. Step 5: Solve for x
    x = 1,398,281.95/1,145.17
  6. Step 6: Final answer
    x = 1,221.03

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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.