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Finding the Fourth Proportional to 1,303.76, 1,801.14 and 856.69

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Solution

The fourth proportional to 1,303.76, 1,801.14 and 856.69 is: 1,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.76 : 1,801.14 = 856.69 : x
  2. Step 2: Convert to fraction form
    1,303.76/1,801.14 = 856.69/x
  3. Step 3: Cross multiply
    1,303.76x = 1,801.14 × 856.69
  4. Step 4: Simplify right side
    1,303.76x = 1,543,018.63
  5. Step 5: Solve for x
    x = 1,543,018.63/1,303.76
  6. Step 6: Final answer
    x = 1,183.51

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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.