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Finding the Fourth Proportional to 1,048.60, 1,573.14 and 586.15

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Solution

The fourth proportional to 1,048.60, 1,573.14 and 586.15 is: 879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.60 : 1,573.14 = 586.15 : x
  2. Step 2: Convert to fraction form
    1,048.60/1,573.14 = 586.15/x
  3. Step 3: Cross multiply
    1,048.60x = 1,573.14 × 586.15
  4. Step 4: Simplify right side
    1,048.60x = 922,096.01
  5. Step 5: Solve for x
    x = 922,096.01/1,048.60
  6. Step 6: Final answer
    x = 879.36

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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.