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Finding the Fourth Proportional to 1,302.94, 1,798.08 and 713.50

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Solution

The fourth proportional to 1,302.94, 1,798.08 and 713.50 is: 984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.94 : 1,798.08 = 713.50 : x
  2. Step 2: Convert to fraction form
    1,302.94/1,798.08 = 713.50/x
  3. Step 3: Cross multiply
    1,302.94x = 1,798.08 × 713.50
  4. Step 4: Simplify right side
    1,302.94x = 1,282,930.08
  5. Step 5: Solve for x
    x = 1,282,930.08/1,302.94
  6. Step 6: Final answer
    x = 984.64

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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.