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Finding the Fourth Proportional to 1,046.34, 1,567.98 and 583.56

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Solution

The fourth proportional to 1,046.34, 1,567.98 and 583.56 is: 874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.34 : 1,567.98 = 583.56 : x
  2. Step 2: Convert to fraction form
    1,046.34/1,567.98 = 583.56/x
  3. Step 3: Cross multiply
    1,046.34x = 1,567.98 × 583.56
  4. Step 4: Simplify right side
    1,046.34x = 915,010.41
  5. Step 5: Solve for x
    x = 915,010.41/1,046.34
  6. Step 6: Final answer
    x = 874.49

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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.