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Finding the Fourth Proportional to 1,036.75, 1,430.90 and 594.65

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Solution

The fourth proportional to 1,036.75, 1,430.90 and 594.65 is: 820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.75 : 1,430.90 = 594.65 : x
  2. Step 2: Convert to fraction form
    1,036.75/1,430.90 = 594.65/x
  3. Step 3: Cross multiply
    1,036.75x = 1,430.90 × 594.65
  4. Step 4: Simplify right side
    1,036.75x = 850,884.69
  5. Step 5: Solve for x
    x = 850,884.69/1,036.75
  6. Step 6: Final answer
    x = 820.72

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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.