Home / 1,046.09-1,570.67-584.77

Finding the Fourth Proportional to 1,046.09, 1,570.67 and 584.77

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Solution

The fourth proportional to 1,046.09, 1,570.67 and 584.77 is: 878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.09 : 1,570.67 = 584.77 : x
  2. Step 2: Convert to fraction form
    1,046.09/1,570.67 = 584.77/x
  3. Step 3: Cross multiply
    1,046.09x = 1,570.67 × 584.77
  4. Step 4: Simplify right side
    1,046.09x = 918,480.70
  5. Step 5: Solve for x
    x = 918,480.70/1,046.09
  6. Step 6: Final answer
    x = 878.01

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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.