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Finding the Fourth Proportional to 1,265.63, 1,746.56 and 800.51

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Solution

The fourth proportional to 1,265.63, 1,746.56 and 800.51 is: 1,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.63 : 1,746.56 = 800.51 : x
  2. Step 2: Convert to fraction form
    1,265.63/1,746.56 = 800.51/x
  3. Step 3: Cross multiply
    1,265.63x = 1,746.56 × 800.51
  4. Step 4: Simplify right side
    1,265.63x = 1,398,132.01
  5. Step 5: Solve for x
    x = 1,398,132.01/1,265.63
  6. Step 6: Final answer
    x = 1,104.70

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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.