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Finding the Fourth Proportional to 1,053.14, 1,585.20 and 894.59

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Solution

The fourth proportional to 1,053.14, 1,585.20 and 894.59 is: 1,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.14 : 1,585.20 = 894.59 : x
  2. Step 2: Convert to fraction form
    1,053.14/1,585.20 = 894.59/x
  3. Step 3: Cross multiply
    1,053.14x = 1,585.20 × 894.59
  4. Step 4: Simplify right side
    1,053.14x = 1,418,096.14
  5. Step 5: Solve for x
    x = 1,418,096.14/1,053.14
  6. Step 6: Final answer
    x = 1,346.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.