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Finding the Fourth Proportional to 1,148.37, 1,723.17 and 499.16

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Solution

The fourth proportional to 1,148.37, 1,723.17 and 499.16 is: 749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.37 : 1,723.17 = 499.16 : x
  2. Step 2: Convert to fraction form
    1,148.37/1,723.17 = 499.16/x
  3. Step 3: Cross multiply
    1,148.37x = 1,723.17 × 499.16
  4. Step 4: Simplify right side
    1,148.37x = 860,128.92
  5. Step 5: Solve for x
    x = 860,128.92/1,148.37
  6. Step 6: Final answer
    x = 749.00

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Why These Related Problems?

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