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Finding the Fourth Proportional to 1,004.63, 1,386.72 and 663.95

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Solution

The fourth proportional to 1,004.63, 1,386.72 and 663.95 is: 916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.63 : 1,386.72 = 663.95 : x
  2. Step 2: Convert to fraction form
    1,004.63/1,386.72 = 663.95/x
  3. Step 3: Cross multiply
    1,004.63x = 1,386.72 × 663.95
  4. Step 4: Simplify right side
    1,004.63x = 920,716.21
  5. Step 5: Solve for x
    x = 920,716.21/1,004.63
  6. Step 6: Final answer
    x = 916.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.