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Finding the Fourth Proportional to 1,060.19, 1,590.29 and 483.06

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Solution

The fourth proportional to 1,060.19, 1,590.29 and 483.06 is: 724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.19 : 1,590.29 = 483.06 : x
  2. Step 2: Convert to fraction form
    1,060.19/1,590.29 = 483.06/x
  3. Step 3: Cross multiply
    1,060.19x = 1,590.29 × 483.06
  4. Step 4: Simplify right side
    1,060.19x = 768,205.49
  5. Step 5: Solve for x
    x = 768,205.49/1,060.19
  6. Step 6: Final answer
    x = 724.59

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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.