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Finding the Fourth Proportional to 1,152.54, 1,729.98 and 604.62

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Solution

The fourth proportional to 1,152.54, 1,729.98 and 604.62 is: 907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.54 : 1,729.98 = 604.62 : x
  2. Step 2: Convert to fraction form
    1,152.54/1,729.98 = 604.62/x
  3. Step 3: Cross multiply
    1,152.54x = 1,729.98 × 604.62
  4. Step 4: Simplify right side
    1,152.54x = 1,045,980.51
  5. Step 5: Solve for x
    x = 1,045,980.51/1,152.54
  6. Step 6: Final answer
    x = 907.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.