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Finding the Fourth Proportional to 1,307.13, 1,803.22 and 1,009.45

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Solution

The fourth proportional to 1,307.13, 1,803.22 and 1,009.45 is: 1,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.13 : 1,803.22 = 1,009.45 : x
  2. Step 2: Convert to fraction form
    1,307.13/1,803.22 = 1,009.45/x
  3. Step 3: Cross multiply
    1,307.13x = 1,803.22 × 1,009.45
  4. Step 4: Simplify right side
    1,307.13x = 1,820,260.43
  5. Step 5: Solve for x
    x = 1,820,260.43/1,307.13
  6. Step 6: Final answer
    x = 1,392.56

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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.