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Finding the Fourth Proportional to 1,050.60, 1,574.73 and 465.42

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Solution

The fourth proportional to 1,050.60, 1,574.73 and 465.42 is: 697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.60 : 1,574.73 = 465.42 : x
  2. Step 2: Convert to fraction form
    1,050.60/1,574.73 = 465.42/x
  3. Step 3: Cross multiply
    1,050.60x = 1,574.73 × 465.42
  4. Step 4: Simplify right side
    1,050.60x = 732,910.84
  5. Step 5: Solve for x
    x = 732,910.84/1,050.60
  6. Step 6: Final answer
    x = 697.61

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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.