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Finding the Fourth Proportional to 1,048.75, 1,572.09 and 586.75

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Solution

The fourth proportional to 1,048.75, 1,572.09 and 586.75 is: 879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.75 : 1,572.09 = 586.75 : x
  2. Step 2: Convert to fraction form
    1,048.75/1,572.09 = 586.75/x
  3. Step 3: Cross multiply
    1,048.75x = 1,572.09 × 586.75
  4. Step 4: Simplify right side
    1,048.75x = 922,423.81
  5. Step 5: Solve for x
    x = 922,423.81/1,048.75
  6. Step 6: Final answer
    x = 879.55

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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.