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Finding the Fourth Proportional to 929.07, 1,392.69 and 599.81

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Solution

The fourth proportional to 929.07, 1,392.69 and 599.81 is: 899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.07 : 1,392.69 = 599.81 : x
  2. Step 2: Convert to fraction form
    929.07/1,392.69 = 599.81/x
  3. Step 3: Cross multiply
    929.07x = 1,392.69 × 599.81
  4. Step 4: Simplify right side
    929.07x = 835,349.39
  5. Step 5: Solve for x
    x = 835,349.39/929.07
  6. Step 6: Final answer
    x = 899.12

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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.