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Finding the Fourth Proportional to 1,060.04, 1,590.10 and 401.85

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Solution

The fourth proportional to 1,060.04, 1,590.10 and 401.85 is: 602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.04 : 1,590.10 = 401.85 : x
  2. Step 2: Convert to fraction form
    1,060.04/1,590.10 = 401.85/x
  3. Step 3: Cross multiply
    1,060.04x = 1,590.10 × 401.85
  4. Step 4: Simplify right side
    1,060.04x = 638,978.71
  5. Step 5: Solve for x
    x = 638,978.71/1,060.04
  6. Step 6: Final answer
    x = 602.79

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