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Finding the Fourth Proportional to 1,364.39, 2,045.06 and 584.00

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Solution

The fourth proportional to 1,364.39, 2,045.06 and 584.00 is: 875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.39 : 2,045.06 = 584.00 : x
  2. Step 2: Convert to fraction form
    1,364.39/2,045.06 = 584.00/x
  3. Step 3: Cross multiply
    1,364.39x = 2,045.06 × 584.00
  4. Step 4: Simplify right side
    1,364.39x = 1,194,311.75
  5. Step 5: Solve for x
    x = 1,194,311.75/1,364.39
  6. Step 6: Final answer
    x = 875.35

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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.