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Finding the Fourth Proportional to 1,159.11, 1,595.65 and 896.63

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Solution

The fourth proportional to 1,159.11, 1,595.65 and 896.63 is: 1,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.11 : 1,595.65 = 896.63 : x
  2. Step 2: Convert to fraction form
    1,159.11/1,595.65 = 896.63/x
  3. Step 3: Cross multiply
    1,159.11x = 1,595.65 × 896.63
  4. Step 4: Simplify right side
    1,159.11x = 1,430,707.66
  5. Step 5: Solve for x
    x = 1,430,707.66/1,159.11
  6. Step 6: Final answer
    x = 1,234.32

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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.