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Finding the Fourth Proportional to 1,311.95, 1,810.58 and 780.69

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Solution

The fourth proportional to 1,311.95, 1,810.58 and 780.69 is: 1,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.95 : 1,810.58 = 780.69 : x
  2. Step 2: Convert to fraction form
    1,311.95/1,810.58 = 780.69/x
  3. Step 3: Cross multiply
    1,311.95x = 1,810.58 × 780.69
  4. Step 4: Simplify right side
    1,311.95x = 1,413,497.80
  5. Step 5: Solve for x
    x = 1,413,497.80/1,311.95
  6. Step 6: Final answer
    x = 1,077.41

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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.