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Finding the Fourth Proportional to 654.10, 975.64 and 608.74

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Solution

The fourth proportional to 654.10, 975.64 and 608.74 is: 907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.10 : 975.64 = 608.74 : x
  2. Step 2: Convert to fraction form
    654.10/975.64 = 608.74/x
  3. Step 3: Cross multiply
    654.10x = 975.64 × 608.74
  4. Step 4: Simplify right side
    654.10x = 593,911.09
  5. Step 5: Solve for x
    x = 593,911.09/654.10
  6. Step 6: Final answer
    x = 907.98

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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.