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Finding the Fourth Proportional to 1,203.32, 1,804.53 and 472.50

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Solution

The fourth proportional to 1,203.32, 1,804.53 and 472.50 is: 708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.32 : 1,804.53 = 472.50 : x
  2. Step 2: Convert to fraction form
    1,203.32/1,804.53 = 472.50/x
  3. Step 3: Cross multiply
    1,203.32x = 1,804.53 × 472.50
  4. Step 4: Simplify right side
    1,203.32x = 852,639.54
  5. Step 5: Solve for x
    x = 852,639.54/1,203.32
  6. Step 6: Final answer
    x = 708.57

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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.