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Finding the Fourth Proportional to 914.73, 1,369.46 and 567.02

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Solution

The fourth proportional to 914.73, 1,369.46 and 567.02 is: 848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.73 : 1,369.46 = 567.02 : x
  2. Step 2: Convert to fraction form
    914.73/1,369.46 = 567.02/x
  3. Step 3: Cross multiply
    914.73x = 1,369.46 × 567.02
  4. Step 4: Simplify right side
    914.73x = 776,501.53
  5. Step 5: Solve for x
    x = 776,501.53/914.73
  6. Step 6: Final answer
    x = 848.89

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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.