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Finding the Fourth Proportional to 904.98, 1,355.58 and 578.69

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Solution

The fourth proportional to 904.98, 1,355.58 and 578.69 is: 866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.98 : 1,355.58 = 578.69 : x
  2. Step 2: Convert to fraction form
    904.98/1,355.58 = 578.69/x
  3. Step 3: Cross multiply
    904.98x = 1,355.58 × 578.69
  4. Step 4: Simplify right side
    904.98x = 784,460.59
  5. Step 5: Solve for x
    x = 784,460.59/904.98
  6. Step 6: Final answer
    x = 866.83

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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.