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Finding the Fourth Proportional to 1,053.32, 1,580.08 and 1,039.10

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Solution

The fourth proportional to 1,053.32, 1,580.08 and 1,039.10 is: 1,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.32 : 1,580.08 = 1,039.10 : x
  2. Step 2: Convert to fraction form
    1,053.32/1,580.08 = 1,039.10/x
  3. Step 3: Cross multiply
    1,053.32x = 1,580.08 × 1,039.10
  4. Step 4: Simplify right side
    1,053.32x = 1,641,861.13
  5. Step 5: Solve for x
    x = 1,641,861.13/1,053.32
  6. Step 6: Final answer
    x = 1,558.75

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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.