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Finding the Fourth Proportional to 1,564.96, 2,159.68 and 856.82

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Solution

The fourth proportional to 1,564.96, 2,159.68 and 856.82 is: 1,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.96 : 2,159.68 = 856.82 : x
  2. Step 2: Convert to fraction form
    1,564.96/2,159.68 = 856.82/x
  3. Step 3: Cross multiply
    1,564.96x = 2,159.68 × 856.82
  4. Step 4: Simplify right side
    1,564.96x = 1,850,457.02
  5. Step 5: Solve for x
    x = 1,850,457.02/1,564.96
  6. Step 6: Final answer
    x = 1,182.43

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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.