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Finding the Fourth Proportional to 1,445.29, 1,995.23 and 1,129.77

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Solution

The fourth proportional to 1,445.29, 1,995.23 and 1,129.77 is: 1,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.29 : 1,995.23 = 1,129.77 : x
  2. Step 2: Convert to fraction form
    1,445.29/1,995.23 = 1,129.77/x
  3. Step 3: Cross multiply
    1,445.29x = 1,995.23 × 1,129.77
  4. Step 4: Simplify right side
    1,445.29x = 2,254,159.43
  5. Step 5: Solve for x
    x = 2,254,159.43/1,445.29
  6. Step 6: Final answer
    x = 1,559.66

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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.