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Finding the Fourth Proportional to 1,304.65, 1,957.74 and 524.82

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Solution

The fourth proportional to 1,304.65, 1,957.74 and 524.82 is: 787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.65 : 1,957.74 = 524.82 : x
  2. Step 2: Convert to fraction form
    1,304.65/1,957.74 = 524.82/x
  3. Step 3: Cross multiply
    1,304.65x = 1,957.74 × 524.82
  4. Step 4: Simplify right side
    1,304.65x = 1,027,461.11
  5. Step 5: Solve for x
    x = 1,027,461.11/1,304.65
  6. Step 6: Final answer
    x = 787.54

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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.