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Finding the Fourth Proportional to 1,135.06, 1,701.52 and 856.98

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Solution

The fourth proportional to 1,135.06, 1,701.52 and 856.98 is: 1,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.06 : 1,701.52 = 856.98 : x
  2. Step 2: Convert to fraction form
    1,135.06/1,701.52 = 856.98/x
  3. Step 3: Cross multiply
    1,135.06x = 1,701.52 × 856.98
  4. Step 4: Simplify right side
    1,135.06x = 1,458,168.61
  5. Step 5: Solve for x
    x = 1,458,168.61/1,135.06
  6. Step 6: Final answer
    x = 1,284.66

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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.