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Finding the Fourth Proportional to 1,035.59, 1,550.64 and 904.97

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Solution

The fourth proportional to 1,035.59, 1,550.64 and 904.97 is: 1,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.59 : 1,550.64 = 904.97 : x
  2. Step 2: Convert to fraction form
    1,035.59/1,550.64 = 904.97/x
  3. Step 3: Cross multiply
    1,035.59x = 1,550.64 × 904.97
  4. Step 4: Simplify right side
    1,035.59x = 1,403,289.95
  5. Step 5: Solve for x
    x = 1,403,289.95/1,035.59
  6. Step 6: Final answer
    x = 1,355.07

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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.