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Finding the Fourth Proportional to 904.55, 1,356.28 and 514.37

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Solution

The fourth proportional to 904.55, 1,356.28 and 514.37 is: 771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.55 : 1,356.28 = 514.37 : x
  2. Step 2: Convert to fraction form
    904.55/1,356.28 = 514.37/x
  3. Step 3: Cross multiply
    904.55x = 1,356.28 × 514.37
  4. Step 4: Simplify right side
    904.55x = 697,631.85
  5. Step 5: Solve for x
    x = 697,631.85/904.55
  6. Step 6: Final answer
    x = 771.25

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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.