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Finding the Fourth Proportional to 1,256.07, 1,733.43 and 777.63

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Solution

The fourth proportional to 1,256.07, 1,733.43 and 777.63 is: 1,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.07 : 1,733.43 = 777.63 : x
  2. Step 2: Convert to fraction form
    1,256.07/1,733.43 = 777.63/x
  3. Step 3: Cross multiply
    1,256.07x = 1,733.43 × 777.63
  4. Step 4: Simplify right side
    1,256.07x = 1,347,967.17
  5. Step 5: Solve for x
    x = 1,347,967.17/1,256.07
  6. Step 6: Final answer
    x = 1,073.16

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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.