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Finding the Fourth Proportional to 1,039.19, 1,433.77 and 597.01

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Solution

The fourth proportional to 1,039.19, 1,433.77 and 597.01 is: 823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.19 : 1,433.77 = 597.01 : x
  2. Step 2: Convert to fraction form
    1,039.19/1,433.77 = 597.01/x
  3. Step 3: Cross multiply
    1,039.19x = 1,433.77 × 597.01
  4. Step 4: Simplify right side
    1,039.19x = 855,964.87
  5. Step 5: Solve for x
    x = 855,964.87/1,039.19
  6. Step 6: Final answer
    x = 823.68

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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.