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Finding the Fourth Proportional to 1,385.58, 1,912.83 and 1,070.16

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Solution

The fourth proportional to 1,385.58, 1,912.83 and 1,070.16 is: 1,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.58 : 1,912.83 = 1,070.16 : x
  2. Step 2: Convert to fraction form
    1,385.58/1,912.83 = 1,070.16/x
  3. Step 3: Cross multiply
    1,385.58x = 1,912.83 × 1,070.16
  4. Step 4: Simplify right side
    1,385.58x = 2,047,034.15
  5. Step 5: Solve for x
    x = 2,047,034.15/1,385.58
  6. Step 6: Final answer
    x = 1,477.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.