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Finding the Fourth Proportional to 1,050.19, 1,575.32 and 319.77

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Solution

The fourth proportional to 1,050.19, 1,575.32 and 319.77 is: 479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.19 : 1,575.32 = 319.77 : x
  2. Step 2: Convert to fraction form
    1,050.19/1,575.32 = 319.77/x
  3. Step 3: Cross multiply
    1,050.19x = 1,575.32 × 319.77
  4. Step 4: Simplify right side
    1,050.19x = 503,738.48
  5. Step 5: Solve for x
    x = 503,738.48/1,050.19
  6. Step 6: Final answer
    x = 479.67

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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.