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Finding the Fourth Proportional to 1,304.94, 1,957.44 and 525.02

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Solution

The fourth proportional to 1,304.94, 1,957.44 and 525.02 is: 787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.94 : 1,957.44 = 525.02 : x
  2. Step 2: Convert to fraction form
    1,304.94/1,957.44 = 525.02/x
  3. Step 3: Cross multiply
    1,304.94x = 1,957.44 × 525.02
  4. Step 4: Simplify right side
    1,304.94x = 1,027,695.15
  5. Step 5: Solve for x
    x = 1,027,695.15/1,304.94
  6. Step 6: Final answer
    x = 787.54

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Why These Related Problems?

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