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Finding the Fourth Proportional to 1,050.19, 1,574.83 and 319.60

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Solution

The fourth proportional to 1,050.19, 1,574.83 and 319.60 is: 479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.19 : 1,574.83 = 319.60 : x
  2. Step 2: Convert to fraction form
    1,050.19/1,574.83 = 319.60/x
  3. Step 3: Cross multiply
    1,050.19x = 1,574.83 × 319.60
  4. Step 4: Simplify right side
    1,050.19x = 503,316.47
  5. Step 5: Solve for x
    x = 503,316.47/1,050.19
  6. Step 6: Final answer
    x = 479.26

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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.