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Finding the Fourth Proportional to 1,072.00, 1,478.10 and 835.68

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Solution

The fourth proportional to 1,072.00, 1,478.10 and 835.68 is: 1,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.00 : 1,478.10 = 835.68 : x
  2. Step 2: Convert to fraction form
    1,072.00/1,478.10 = 835.68/x
  3. Step 3: Cross multiply
    1,072.00x = 1,478.10 × 835.68
  4. Step 4: Simplify right side
    1,072.00x = 1,235,222.58
  5. Step 5: Solve for x
    x = 1,235,222.58/1,072.00
  6. Step 6: Final answer
    x = 1,152.26

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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.