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Finding the Fourth Proportional to 1,285.07, 1,927.59 and 407.65

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Solution

The fourth proportional to 1,285.07, 1,927.59 and 407.65 is: 611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.07 : 1,927.59 = 407.65 : x
  2. Step 2: Convert to fraction form
    1,285.07/1,927.59 = 407.65/x
  3. Step 3: Cross multiply
    1,285.07x = 1,927.59 × 407.65
  4. Step 4: Simplify right side
    1,285.07x = 785,780.03
  5. Step 5: Solve for x
    x = 785,780.03/1,285.07
  6. Step 6: Final answer
    x = 611.47

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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.