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Finding the Fourth Proportional to 1,038.83, 1,558.01 and 599.15

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Solution

The fourth proportional to 1,038.83, 1,558.01 and 599.15 is: 898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.83 : 1,558.01 = 599.15 : x
  2. Step 2: Convert to fraction form
    1,038.83/1,558.01 = 599.15/x
  3. Step 3: Cross multiply
    1,038.83x = 1,558.01 × 599.15
  4. Step 4: Simplify right side
    1,038.83x = 933,470.91
  5. Step 5: Solve for x
    x = 933,470.91/1,038.83
  6. Step 6: Final answer
    x = 898.58

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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.