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Finding the Fourth Proportional to 1,152.09, 1,719.29 and 1,029.07

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Solution

The fourth proportional to 1,152.09, 1,719.29 and 1,029.07 is: 1,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.09 : 1,719.29 = 1,029.07 : x
  2. Step 2: Convert to fraction form
    1,152.09/1,719.29 = 1,029.07/x
  3. Step 3: Cross multiply
    1,152.09x = 1,719.29 × 1,029.07
  4. Step 4: Simplify right side
    1,152.09x = 1,769,269.76
  5. Step 5: Solve for x
    x = 1,769,269.76/1,152.09
  6. Step 6: Final answer
    x = 1,535.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.