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Finding the Fourth Proportional to 1,050.13, 1,574.57 and 356.60

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Solution

The fourth proportional to 1,050.13, 1,574.57 and 356.60 is: 534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.13 : 1,574.57 = 356.60 : x
  2. Step 2: Convert to fraction form
    1,050.13/1,574.57 = 356.60/x
  3. Step 3: Cross multiply
    1,050.13x = 1,574.57 × 356.60
  4. Step 4: Simplify right side
    1,050.13x = 561,491.66
  5. Step 5: Solve for x
    x = 561,491.66/1,050.13
  6. Step 6: Final answer
    x = 534.69

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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.