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Finding the Fourth Proportional to 1,066.19, 1,598.03 and 407.63

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Solution

The fourth proportional to 1,066.19, 1,598.03 and 407.63 is: 610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.19 : 1,598.03 = 407.63 : x
  2. Step 2: Convert to fraction form
    1,066.19/1,598.03 = 407.63/x
  3. Step 3: Cross multiply
    1,066.19x = 1,598.03 × 407.63
  4. Step 4: Simplify right side
    1,066.19x = 651,404.97
  5. Step 5: Solve for x
    x = 651,404.97/1,066.19
  6. Step 6: Final answer
    x = 610.97

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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.