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Finding the Fourth Proportional to 761.01, 1,050.14 and 583.65

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Solution

The fourth proportional to 761.01, 1,050.14 and 583.65 is: 805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.01 : 1,050.14 = 583.65 : x
  2. Step 2: Convert to fraction form
    761.01/1,050.14 = 583.65/x
  3. Step 3: Cross multiply
    761.01x = 1,050.14 × 583.65
  4. Step 4: Simplify right side
    761.01x = 612,911.29
  5. Step 5: Solve for x
    x = 612,911.29/761.01
  6. Step 6: Final answer
    x = 805.39

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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.