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Finding the Fourth Proportional to 1,059.94, 1,596.13 and 924.60

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Solution

The fourth proportional to 1,059.94, 1,596.13 and 924.60 is: 1,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.94 : 1,596.13 = 924.60 : x
  2. Step 2: Convert to fraction form
    1,059.94/1,596.13 = 924.60/x
  3. Step 3: Cross multiply
    1,059.94x = 1,596.13 × 924.60
  4. Step 4: Simplify right side
    1,059.94x = 1,475,781.80
  5. Step 5: Solve for x
    x = 1,475,781.80/1,059.94
  6. Step 6: Final answer
    x = 1,392.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.