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Finding the Fourth Proportional to 1,148.76, 1,723.47 and 600.63

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Solution

The fourth proportional to 1,148.76, 1,723.47 and 600.63 is: 901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.76 : 1,723.47 = 600.63 : x
  2. Step 2: Convert to fraction form
    1,148.76/1,723.47 = 600.63/x
  3. Step 3: Cross multiply
    1,148.76x = 1,723.47 × 600.63
  4. Step 4: Simplify right side
    1,148.76x = 1,035,167.79
  5. Step 5: Solve for x
    x = 1,035,167.79/1,148.76
  6. Step 6: Final answer
    x = 901.12

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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.