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Finding the Fourth Proportional to 1,225.71, 1,838.58 and 360

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Solution

The fourth proportional to 1,225.71, 1,838.58 and 360 is: 540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.71 : 1,838.58 = 360 : x
  2. Step 2: Convert to fraction form
    1,225.71/1,838.58 = 360/x
  3. Step 3: Cross multiply
    1,225.71x = 1,838.58 × 360
  4. Step 4: Simplify right side
    1,225.71x = 661,888.80
  5. Step 5: Solve for x
    x = 661,888.80/1,225.71
  6. Step 6: Final answer
    x = 540.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.