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Finding the Fourth Proportional to 1,066.61, 1,594.29 and 926.69

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Solution

The fourth proportional to 1,066.61, 1,594.29 and 926.69 is: 1,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.61 : 1,594.29 = 926.69 : x
  2. Step 2: Convert to fraction form
    1,066.61/1,594.29 = 926.69/x
  3. Step 3: Cross multiply
    1,066.61x = 1,594.29 × 926.69
  4. Step 4: Simplify right side
    1,066.61x = 1,477,407.97
  5. Step 5: Solve for x
    x = 1,477,407.97/1,066.61
  6. Step 6: Final answer
    x = 1,385.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.