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Finding the Fourth Proportional to 1,003.64, 1,384.95 and 584.01

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Solution

The fourth proportional to 1,003.64, 1,384.95 and 584.01 is: 805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.64 : 1,384.95 = 584.01 : x
  2. Step 2: Convert to fraction form
    1,003.64/1,384.95 = 584.01/x
  3. Step 3: Cross multiply
    1,003.64x = 1,384.95 × 584.01
  4. Step 4: Simplify right side
    1,003.64x = 808,823.55
  5. Step 5: Solve for x
    x = 808,823.55/1,003.64
  6. Step 6: Final answer
    x = 805.89

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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.