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Finding the Fourth Proportional to 1,005.28, 1,506.70 and 426.94

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Solution

The fourth proportional to 1,005.28, 1,506.70 and 426.94 is: 639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.28 : 1,506.70 = 426.94 : x
  2. Step 2: Convert to fraction form
    1,005.28/1,506.70 = 426.94/x
  3. Step 3: Cross multiply
    1,005.28x = 1,506.70 × 426.94
  4. Step 4: Simplify right side
    1,005.28x = 643,267.26
  5. Step 5: Solve for x
    x = 643,267.26/1,005.28
  6. Step 6: Final answer
    x = 639.89

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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.