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Finding the Fourth Proportional to 1,347.96, 1,860.20 and 758.51

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Solution

The fourth proportional to 1,347.96, 1,860.20 and 758.51 is: 1,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.96 : 1,860.20 = 758.51 : x
  2. Step 2: Convert to fraction form
    1,347.96/1,860.20 = 758.51/x
  3. Step 3: Cross multiply
    1,347.96x = 1,860.20 × 758.51
  4. Step 4: Simplify right side
    1,347.96x = 1,410,967.21
  5. Step 5: Solve for x
    x = 1,410,967.21/1,347.96
  6. Step 6: Final answer
    x = 1,046.74

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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.