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Finding the Fourth Proportional to 1,060.34, 1,590.33 and 483.08

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Solution

The fourth proportional to 1,060.34, 1,590.33 and 483.08 is: 724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.34 : 1,590.33 = 483.08 : x
  2. Step 2: Convert to fraction form
    1,060.34/1,590.33 = 483.08/x
  3. Step 3: Cross multiply
    1,060.34x = 1,590.33 × 483.08
  4. Step 4: Simplify right side
    1,060.34x = 768,256.62
  5. Step 5: Solve for x
    x = 768,256.62/1,060.34
  6. Step 6: Final answer
    x = 724.54

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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.