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Finding the Fourth Proportional to 1,104.30, 1,655.84 and 583.00

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Solution

The fourth proportional to 1,104.30, 1,655.84 and 583.00 is: 874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.30 : 1,655.84 = 583.00 : x
  2. Step 2: Convert to fraction form
    1,104.30/1,655.84 = 583.00/x
  3. Step 3: Cross multiply
    1,104.30x = 1,655.84 × 583.00
  4. Step 4: Simplify right side
    1,104.30x = 965,352.04
  5. Step 5: Solve for x
    x = 965,352.04/1,104.30
  6. Step 6: Final answer
    x = 874.18

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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.