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Finding the Fourth Proportional to 762.72, 1,050.64 and 706.72

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Solution

The fourth proportional to 762.72, 1,050.64 and 706.72 is: 973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.72 : 1,050.64 = 706.72 : x
  2. Step 2: Convert to fraction form
    762.72/1,050.64 = 706.72/x
  3. Step 3: Cross multiply
    762.72x = 1,050.64 × 706.72
  4. Step 4: Simplify right side
    762.72x = 742,508.30
  5. Step 5: Solve for x
    x = 742,508.30/762.72
  6. Step 6: Final answer
    x = 973.50

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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.