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Finding the Fourth Proportional to 1,159.44, 1,602.36 and 926.16

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Solution

The fourth proportional to 1,159.44, 1,602.36 and 926.16 is: 1,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.44 : 1,602.36 = 926.16 : x
  2. Step 2: Convert to fraction form
    1,159.44/1,602.36 = 926.16/x
  3. Step 3: Cross multiply
    1,159.44x = 1,602.36 × 926.16
  4. Step 4: Simplify right side
    1,159.44x = 1,484,041.74
  5. Step 5: Solve for x
    x = 1,484,041.74/1,159.44
  6. Step 6: Final answer
    x = 1,279.96

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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.