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Finding the Fourth Proportional to 1,235.53, 1,704.77 and 787.57

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Solution

The fourth proportional to 1,235.53, 1,704.77 and 787.57 is: 1,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.53 : 1,704.77 = 787.57 : x
  2. Step 2: Convert to fraction form
    1,235.53/1,704.77 = 787.57/x
  3. Step 3: Cross multiply
    1,235.53x = 1,704.77 × 787.57
  4. Step 4: Simplify right side
    1,235.53x = 1,342,621.77
  5. Step 5: Solve for x
    x = 1,342,621.77/1,235.53
  6. Step 6: Final answer
    x = 1,086.68

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Double scale
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1.5x scale

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.