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Finding the Fourth Proportional to 1,038.53, 1,558.70 and 576.83

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Solution

The fourth proportional to 1,038.53, 1,558.70 and 576.83 is: 865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.53 : 1,558.70 = 576.83 : x
  2. Step 2: Convert to fraction form
    1,038.53/1,558.70 = 576.83/x
  3. Step 3: Cross multiply
    1,038.53x = 1,558.70 × 576.83
  4. Step 4: Simplify right side
    1,038.53x = 899,097.13
  5. Step 5: Solve for x
    x = 899,097.13/1,038.53
  6. Step 6: Final answer
    x = 865.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.