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Finding the Fourth Proportional to 1,432.30, 1,980.19 and 1,058.69

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Solution

The fourth proportional to 1,432.30, 1,980.19 and 1,058.69 is: 1,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.30 : 1,980.19 = 1,058.69 : x
  2. Step 2: Convert to fraction form
    1,432.30/1,980.19 = 1,058.69/x
  3. Step 3: Cross multiply
    1,432.30x = 1,980.19 × 1,058.69
  4. Step 4: Simplify right side
    1,432.30x = 2,096,402.06
  5. Step 5: Solve for x
    x = 2,096,402.06/1,432.30
  6. Step 6: Final answer
    x = 1,463.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.