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Finding the Fourth Proportional to 1,359.46, 2,038.58 and 580.04

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Solution

The fourth proportional to 1,359.46, 2,038.58 and 580.04 is: 869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.46 : 2,038.58 = 580.04 : x
  2. Step 2: Convert to fraction form
    1,359.46/2,038.58 = 580.04/x
  3. Step 3: Cross multiply
    1,359.46x = 2,038.58 × 580.04
  4. Step 4: Simplify right side
    1,359.46x = 1,182,457.94
  5. Step 5: Solve for x
    x = 1,182,457.94/1,359.46
  6. Step 6: Final answer
    x = 869.80

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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.