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Finding the Fourth Proportional to 690.04, 1,034.75 and 429.65

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Solution

The fourth proportional to 690.04, 1,034.75 and 429.65 is: 644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.04 : 1,034.75 = 429.65 : x
  2. Step 2: Convert to fraction form
    690.04/1,034.75 = 429.65/x
  3. Step 3: Cross multiply
    690.04x = 1,034.75 × 429.65
  4. Step 4: Simplify right side
    690.04x = 444,575.16
  5. Step 5: Solve for x
    x = 444,575.16/690.04
  6. Step 6: Final answer
    x = 644.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.