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Finding the Fourth Proportional to 1,265.93, 1,746.97 and 824.58

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Solution

The fourth proportional to 1,265.93, 1,746.97 and 824.58 is: 1,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.93 : 1,746.97 = 824.58 : x
  2. Step 2: Convert to fraction form
    1,265.93/1,746.97 = 824.58/x
  3. Step 3: Cross multiply
    1,265.93x = 1,746.97 × 824.58
  4. Step 4: Simplify right side
    1,265.93x = 1,440,516.52
  5. Step 5: Solve for x
    x = 1,440,516.52/1,265.93
  6. Step 6: Final answer
    x = 1,137.91

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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.