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Finding the Fourth Proportional to 1,265.48, 1,746.88 and 823.76

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Solution

The fourth proportional to 1,265.48, 1,746.88 and 823.76 is: 1,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.48 : 1,746.88 = 823.76 : x
  2. Step 2: Convert to fraction form
    1,265.48/1,746.88 = 823.76/x
  3. Step 3: Cross multiply
    1,265.48x = 1,746.88 × 823.76
  4. Step 4: Simplify right side
    1,265.48x = 1,439,009.87
  5. Step 5: Solve for x
    x = 1,439,009.87/1,265.48
  6. Step 6: Final answer
    x = 1,137.13

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Why These Related Problems?

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