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Finding the Fourth Proportional to 1,003.65, 1,384.81 and 584.02

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Solution

The fourth proportional to 1,003.65, 1,384.81 and 584.02 is: 805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.65 : 1,384.81 = 584.02 : x
  2. Step 2: Convert to fraction form
    1,003.65/1,384.81 = 584.02/x
  3. Step 3: Cross multiply
    1,003.65x = 1,384.81 × 584.02
  4. Step 4: Simplify right side
    1,003.65x = 808,756.74
  5. Step 5: Solve for x
    x = 808,756.74/1,003.65
  6. Step 6: Final answer
    x = 805.82

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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.