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Finding the Fourth Proportional to 1,051.57, 1,566.14 and 984.07

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Solution

The fourth proportional to 1,051.57, 1,566.14 and 984.07 is: 1,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.57 : 1,566.14 = 984.07 : x
  2. Step 2: Convert to fraction form
    1,051.57/1,566.14 = 984.07/x
  3. Step 3: Cross multiply
    1,051.57x = 1,566.14 × 984.07
  4. Step 4: Simplify right side
    1,051.57x = 1,541,191.39
  5. Step 5: Solve for x
    x = 1,541,191.39/1,051.57
  6. Step 6: Final answer
    x = 1,465.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.