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Finding the Fourth Proportional to 1,390.84, 2,086.59 and 416.93

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Solution

The fourth proportional to 1,390.84, 2,086.59 and 416.93 is: 625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.84 : 2,086.59 = 416.93 : x
  2. Step 2: Convert to fraction form
    1,390.84/2,086.59 = 416.93/x
  3. Step 3: Cross multiply
    1,390.84x = 2,086.59 × 416.93
  4. Step 4: Simplify right side
    1,390.84x = 869,963.01
  5. Step 5: Solve for x
    x = 869,963.01/1,390.84
  6. Step 6: Final answer
    x = 625.50

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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.