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Finding the Fourth Proportional to 1,312.83, 1,811.56 and 753.29

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Solution

The fourth proportional to 1,312.83, 1,811.56 and 753.29 is: 1,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.83 : 1,811.56 = 753.29 : x
  2. Step 2: Convert to fraction form
    1,312.83/1,811.56 = 753.29/x
  3. Step 3: Cross multiply
    1,312.83x = 1,811.56 × 753.29
  4. Step 4: Simplify right side
    1,312.83x = 1,364,620.97
  5. Step 5: Solve for x
    x = 1,364,620.97/1,312.83
  6. Step 6: Final answer
    x = 1,039.45

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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.