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Finding the Fourth Proportional to 1,256.10, 1,733.58 and 961.26

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Solution

The fourth proportional to 1,256.10, 1,733.58 and 961.26 is: 1,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.10 : 1,733.58 = 961.26 : x
  2. Step 2: Convert to fraction form
    1,256.10/1,733.58 = 961.26/x
  3. Step 3: Cross multiply
    1,256.10x = 1,733.58 × 961.26
  4. Step 4: Simplify right side
    1,256.10x = 1,666,421.11
  5. Step 5: Solve for x
    x = 1,666,421.11/1,256.10
  6. Step 6: Final answer
    x = 1,326.66

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