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Finding the Fourth Proportional to 1,564.73, 2,159.38 and 856.55

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Solution

The fourth proportional to 1,564.73, 2,159.38 and 856.55 is: 1,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.73 : 2,159.38 = 856.55 : x
  2. Step 2: Convert to fraction form
    1,564.73/2,159.38 = 856.55/x
  3. Step 3: Cross multiply
    1,564.73x = 2,159.38 × 856.55
  4. Step 4: Simplify right side
    1,564.73x = 1,849,620.20
  5. Step 5: Solve for x
    x = 1,849,620.20/1,564.73
  6. Step 6: Final answer
    x = 1,182.07

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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.