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Finding the Fourth Proportional to 1,055.60, 1,456.82 and 589.86

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Solution

The fourth proportional to 1,055.60, 1,456.82 and 589.86 is: 814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.60 : 1,456.82 = 589.86 : x
  2. Step 2: Convert to fraction form
    1,055.60/1,456.82 = 589.86/x
  3. Step 3: Cross multiply
    1,055.60x = 1,456.82 × 589.86
  4. Step 4: Simplify right side
    1,055.60x = 859,319.85
  5. Step 5: Solve for x
    x = 859,319.85/1,055.60
  6. Step 6: Final answer
    x = 814.06

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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.