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Finding the Fourth Proportional to 1,066.61, 1,599.77 and 286.67

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Solution

The fourth proportional to 1,066.61, 1,599.77 and 286.67 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.61 : 1,599.77 = 286.67 : x
  2. Step 2: Convert to fraction form
    1,066.61/1,599.77 = 286.67/x
  3. Step 3: Cross multiply
    1,066.61x = 1,599.77 × 286.67
  4. Step 4: Simplify right side
    1,066.61x = 458,598.07
  5. Step 5: Solve for x
    x = 458,598.07/1,066.61
  6. Step 6: Final answer
    x = 429.96

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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.