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Finding the Fourth Proportional to 1,152.63, 1,590.03 and 680.45

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Solution

The fourth proportional to 1,152.63, 1,590.03 and 680.45 is: 938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.63 : 1,590.03 = 680.45 : x
  2. Step 2: Convert to fraction form
    1,152.63/1,590.03 = 680.45/x
  3. Step 3: Cross multiply
    1,152.63x = 1,590.03 × 680.45
  4. Step 4: Simplify right side
    1,152.63x = 1,081,936.91
  5. Step 5: Solve for x
    x = 1,081,936.91/1,152.63
  6. Step 6: Final answer
    x = 938.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.