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Finding the Fourth Proportional to 1,060.84, 1,590.11 and 444.88

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Solution

The fourth proportional to 1,060.84, 1,590.11 and 444.88 is: 666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.84 : 1,590.11 = 444.88 : x
  2. Step 2: Convert to fraction form
    1,060.84/1,590.11 = 444.88/x
  3. Step 3: Cross multiply
    1,060.84x = 1,590.11 × 444.88
  4. Step 4: Simplify right side
    1,060.84x = 707,405.91
  5. Step 5: Solve for x
    x = 707,405.91/1,060.84
  6. Step 6: Final answer
    x = 666.84

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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.