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Finding the Fourth Proportional to 1,303.26, 1,798.08 and 1,178.52

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Solution

The fourth proportional to 1,303.26, 1,798.08 and 1,178.52 is: 1,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.26 : 1,798.08 = 1,178.52 : x
  2. Step 2: Convert to fraction form
    1,303.26/1,798.08 = 1,178.52/x
  3. Step 3: Cross multiply
    1,303.26x = 1,798.08 × 1,178.52
  4. Step 4: Simplify right side
    1,303.26x = 2,119,073.24
  5. Step 5: Solve for x
    x = 2,119,073.24/1,303.26
  6. Step 6: Final answer
    x = 1,625.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.