Home / 1,056.23-1,582.80-594.13

Finding the Fourth Proportional to 1,056.23, 1,582.80 and 594.13

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Solution

The fourth proportional to 1,056.23, 1,582.80 and 594.13 is: 890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.23 : 1,582.80 = 594.13 : x
  2. Step 2: Convert to fraction form
    1,056.23/1,582.80 = 594.13/x
  3. Step 3: Cross multiply
    1,056.23x = 1,582.80 × 594.13
  4. Step 4: Simplify right side
    1,056.23x = 940,391.73
  5. Step 5: Solve for x
    x = 940,391.73/1,056.23
  6. Step 6: Final answer
    x = 890.33

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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.