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Finding the Fourth Proportional to 1,045.33, 1,567.66 and 351.81

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Solution

The fourth proportional to 1,045.33, 1,567.66 and 351.81 is: 527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.33 : 1,567.66 = 351.81 : x
  2. Step 2: Convert to fraction form
    1,045.33/1,567.66 = 351.81/x
  3. Step 3: Cross multiply
    1,045.33x = 1,567.66 × 351.81
  4. Step 4: Simplify right side
    1,045.33x = 551,518.46
  5. Step 5: Solve for x
    x = 551,518.46/1,045.33
  6. Step 6: Final answer
    x = 527.60

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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.