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Finding the Fourth Proportional to 690.85, 953.40 and 454.87

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Solution

The fourth proportional to 690.85, 953.40 and 454.87 is: 627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.85 : 953.40 = 454.87 : x
  2. Step 2: Convert to fraction form
    690.85/953.40 = 454.87/x
  3. Step 3: Cross multiply
    690.85x = 953.40 × 454.87
  4. Step 4: Simplify right side
    690.85x = 433,673.06
  5. Step 5: Solve for x
    x = 433,673.06/690.85
  6. Step 6: Final answer
    x = 627.74

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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.