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Finding the Fourth Proportional to 1,284.89, 1,927.94 and 407.53

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Solution

The fourth proportional to 1,284.89, 1,927.94 and 407.53 is: 611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.89 : 1,927.94 = 407.53 : x
  2. Step 2: Convert to fraction form
    1,284.89/1,927.94 = 407.53/x
  3. Step 3: Cross multiply
    1,284.89x = 1,927.94 × 407.53
  4. Step 4: Simplify right side
    1,284.89x = 785,693.39
  5. Step 5: Solve for x
    x = 785,693.39/1,284.89
  6. Step 6: Final answer
    x = 611.49

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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.