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Finding the Fourth Proportional to 1,046.21, 1,570.85 and 584.89

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Solution

The fourth proportional to 1,046.21, 1,570.85 and 584.89 is: 878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.21 : 1,570.85 = 584.89 : x
  2. Step 2: Convert to fraction form
    1,046.21/1,570.85 = 584.89/x
  3. Step 3: Cross multiply
    1,046.21x = 1,570.85 × 584.89
  4. Step 4: Simplify right side
    1,046.21x = 918,774.46
  5. Step 5: Solve for x
    x = 918,774.46/1,046.21
  6. Step 6: Final answer
    x = 878.19

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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.