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Finding the Fourth Proportional to 1,036.85, 1,430.43 and 594.65

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Solution

The fourth proportional to 1,036.85, 1,430.43 and 594.65 is: 820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.85 : 1,430.43 = 594.65 : x
  2. Step 2: Convert to fraction form
    1,036.85/1,430.43 = 594.65/x
  3. Step 3: Cross multiply
    1,036.85x = 1,430.43 × 594.65
  4. Step 4: Simplify right side
    1,036.85x = 850,598.05
  5. Step 5: Solve for x
    x = 850,598.05/1,036.85
  6. Step 6: Final answer
    x = 820.37

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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.