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Finding the Fourth Proportional to 1,152.89, 1,590.94 and 655.46

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Solution

The fourth proportional to 1,152.89, 1,590.94 and 655.46 is: 904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.89 : 1,590.94 = 655.46 : x
  2. Step 2: Convert to fraction form
    1,152.89/1,590.94 = 655.46/x
  3. Step 3: Cross multiply
    1,152.89x = 1,590.94 × 655.46
  4. Step 4: Simplify right side
    1,152.89x = 1,042,797.53
  5. Step 5: Solve for x
    x = 1,042,797.53/1,152.89
  6. Step 6: Final answer
    x = 904.51

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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.