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Finding the Fourth Proportional to 952.02, 1,312.50 and 637.35

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Solution

The fourth proportional to 952.02, 1,312.50 and 637.35 is: 878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.02 : 1,312.50 = 637.35 : x
  2. Step 2: Convert to fraction form
    952.02/1,312.50 = 637.35/x
  3. Step 3: Cross multiply
    952.02x = 1,312.50 × 637.35
  4. Step 4: Simplify right side
    952.02x = 836,521.88
  5. Step 5: Solve for x
    x = 836,521.88/952.02
  6. Step 6: Final answer
    x = 878.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.