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Finding the Fourth Proportional to 1,370.58, 2,058.19 and 896.45

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Solution

The fourth proportional to 1,370.58, 2,058.19 and 896.45 is: 1,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.58 : 2,058.19 = 896.45 : x
  2. Step 2: Convert to fraction form
    1,370.58/2,058.19 = 896.45/x
  3. Step 3: Cross multiply
    1,370.58x = 2,058.19 × 896.45
  4. Step 4: Simplify right side
    1,370.58x = 1,845,071.81
  5. Step 5: Solve for x
    x = 1,845,071.81/1,370.58
  6. Step 6: Final answer
    x = 1,346.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.