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Finding the Fourth Proportional to 1,055.73, 1,456.90 and 589.98

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Solution

The fourth proportional to 1,055.73, 1,456.90 and 589.98 is: 814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.73 : 1,456.90 = 589.98 : x
  2. Step 2: Convert to fraction form
    1,055.73/1,456.90 = 589.98/x
  3. Step 3: Cross multiply
    1,055.73x = 1,456.90 × 589.98
  4. Step 4: Simplify right side
    1,055.73x = 859,534.92
  5. Step 5: Solve for x
    x = 859,534.92/1,055.73
  6. Step 6: Final answer
    x = 814.16

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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.