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Finding the Fourth Proportional to 1,004.46, 1,506.71 and 477.24

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Solution

The fourth proportional to 1,004.46, 1,506.71 and 477.24 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.46 : 1,506.71 = 477.24 : x
  2. Step 2: Convert to fraction form
    1,004.46/1,506.71 = 477.24/x
  3. Step 3: Cross multiply
    1,004.46x = 1,506.71 × 477.24
  4. Step 4: Simplify right side
    1,004.46x = 719,062.28
  5. Step 5: Solve for x
    x = 719,062.28/1,004.46
  6. Step 6: Final answer
    x = 715.87

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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.