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Finding the Fourth Proportional to 1,008.63, 1,512.45 and 460.46

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Solution

The fourth proportional to 1,008.63, 1,512.45 and 460.46 is: 690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.63 : 1,512.45 = 460.46 : x
  2. Step 2: Convert to fraction form
    1,008.63/1,512.45 = 460.46/x
  3. Step 3: Cross multiply
    1,008.63x = 1,512.45 × 460.46
  4. Step 4: Simplify right side
    1,008.63x = 696,426.51
  5. Step 5: Solve for x
    x = 696,426.51/1,008.63
  6. Step 6: Final answer
    x = 690.47

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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.