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Finding the Fourth Proportional to 1,066.34, 1,592.42 and 1,054.90

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Solution

The fourth proportional to 1,066.34, 1,592.42 and 1,054.90 is: 1,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.34 : 1,592.42 = 1,054.90 : x
  2. Step 2: Convert to fraction form
    1,066.34/1,592.42 = 1,054.90/x
  3. Step 3: Cross multiply
    1,066.34x = 1,592.42 × 1,054.90
  4. Step 4: Simplify right side
    1,066.34x = 1,679,840.57
  5. Step 5: Solve for x
    x = 1,679,840.57/1,066.34
  6. Step 6: Final answer
    x = 1,575.33

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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.