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Finding the Fourth Proportional to 1,219.51, 1,827.71 and 525.36

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Solution

The fourth proportional to 1,219.51, 1,827.71 and 525.36 is: 787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.51 : 1,827.71 = 525.36 : x
  2. Step 2: Convert to fraction form
    1,219.51/1,827.71 = 525.36/x
  3. Step 3: Cross multiply
    1,219.51x = 1,827.71 × 525.36
  4. Step 4: Simplify right side
    1,219.51x = 960,209.74
  5. Step 5: Solve for x
    x = 960,209.74/1,219.51
  6. Step 6: Final answer
    x = 787.38

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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.