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Finding the Fourth Proportional to 1,050.18, 1,574.52 and 391.74

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Solution

The fourth proportional to 1,050.18, 1,574.52 and 391.74 is: 587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.18 : 1,574.52 = 391.74 : x
  2. Step 2: Convert to fraction form
    1,050.18/1,574.52 = 391.74/x
  3. Step 3: Cross multiply
    1,050.18x = 1,574.52 × 391.74
  4. Step 4: Simplify right side
    1,050.18x = 616,802.46
  5. Step 5: Solve for x
    x = 616,802.46/1,050.18
  6. Step 6: Final answer
    x = 587.33

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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.