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Finding the Fourth Proportional to 833.08, 1,148.46 and 583.63

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Solution

The fourth proportional to 833.08, 1,148.46 and 583.63 is: 804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.08 : 1,148.46 = 583.63 : x
  2. Step 2: Convert to fraction form
    833.08/1,148.46 = 583.63/x
  3. Step 3: Cross multiply
    833.08x = 1,148.46 × 583.63
  4. Step 4: Simplify right side
    833.08x = 670,275.71
  5. Step 5: Solve for x
    x = 670,275.71/833.08
  6. Step 6: Final answer
    x = 804.58

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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.