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Finding the Fourth Proportional to 1,152.26, 1,590.18 and 654.89

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Solution

The fourth proportional to 1,152.26, 1,590.18 and 654.89 is: 903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.26 : 1,590.18 = 654.89 : x
  2. Step 2: Convert to fraction form
    1,152.26/1,590.18 = 654.89/x
  3. Step 3: Cross multiply
    1,152.26x = 1,590.18 × 654.89
  4. Step 4: Simplify right side
    1,152.26x = 1,041,392.98
  5. Step 5: Solve for x
    x = 1,041,392.98/1,152.26
  6. Step 6: Final answer
    x = 903.78

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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.