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Finding the Fourth Proportional to 1,295.24, 1,942.95 and 429.26

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Solution

The fourth proportional to 1,295.24, 1,942.95 and 429.26 is: 643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.24 : 1,942.95 = 429.26 : x
  2. Step 2: Convert to fraction form
    1,295.24/1,942.95 = 429.26/x
  3. Step 3: Cross multiply
    1,295.24x = 1,942.95 × 429.26
  4. Step 4: Simplify right side
    1,295.24x = 834,030.72
  5. Step 5: Solve for x
    x = 834,030.72/1,295.24
  6. Step 6: Final answer
    x = 643.92

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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.