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Finding the Fourth Proportional to 1,202.63, 1,804.76 and 433.13

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Solution

The fourth proportional to 1,202.63, 1,804.76 and 433.13 is: 649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.63 : 1,804.76 = 433.13 : x
  2. Step 2: Convert to fraction form
    1,202.63/1,804.76 = 433.13/x
  3. Step 3: Cross multiply
    1,202.63x = 1,804.76 × 433.13
  4. Step 4: Simplify right side
    1,202.63x = 781,695.70
  5. Step 5: Solve for x
    x = 781,695.70/1,202.63
  6. Step 6: Final answer
    x = 649.99

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Double scale
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1.5x scale

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.