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Finding the Fourth Proportional to 762.67, 1,139.27 and 653.32

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Solution

The fourth proportional to 762.67, 1,139.27 and 653.32 is: 975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.67 : 1,139.27 = 653.32 : x
  2. Step 2: Convert to fraction form
    762.67/1,139.27 = 653.32/x
  3. Step 3: Cross multiply
    762.67x = 1,139.27 × 653.32
  4. Step 4: Simplify right side
    762.67x = 744,307.88
  5. Step 5: Solve for x
    x = 744,307.88/762.67
  6. Step 6: Final answer
    x = 975.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.