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Finding the Fourth Proportional to 1,066.18, 1,599.08 and 373.36

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Solution

The fourth proportional to 1,066.18, 1,599.08 and 373.36 is: 559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.18 : 1,599.08 = 373.36 : x
  2. Step 2: Convert to fraction form
    1,066.18/1,599.08 = 373.36/x
  3. Step 3: Cross multiply
    1,066.18x = 1,599.08 × 373.36
  4. Step 4: Simplify right side
    1,066.18x = 597,032.51
  5. Step 5: Solve for x
    x = 597,032.51/1,066.18
  6. Step 6: Final answer
    x = 559.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.