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Finding the Fourth Proportional to 1,055.77, 1,456.96 and 590.02

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Solution

The fourth proportional to 1,055.77, 1,456.96 and 590.02 is: 814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.77 : 1,456.96 = 590.02 : x
  2. Step 2: Convert to fraction form
    1,055.77/1,456.96 = 590.02/x
  3. Step 3: Cross multiply
    1,055.77x = 1,456.96 × 590.02
  4. Step 4: Simplify right side
    1,055.77x = 859,630.42
  5. Step 5: Solve for x
    x = 859,630.42/1,055.77
  6. Step 6: Final answer
    x = 814.22

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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.