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Finding the Fourth Proportional to 1,152.44, 1,590.46 and 648.26

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Solution

The fourth proportional to 1,152.44, 1,590.46 and 648.26 is: 894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.44 : 1,590.46 = 648.26 : x
  2. Step 2: Convert to fraction form
    1,152.44/1,590.46 = 648.26/x
  3. Step 3: Cross multiply
    1,152.44x = 1,590.46 × 648.26
  4. Step 4: Simplify right side
    1,152.44x = 1,031,031.60
  5. Step 5: Solve for x
    x = 1,031,031.60/1,152.44
  6. Step 6: Final answer
    x = 894.65

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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.