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Finding the Fourth Proportional to 1,048.50, 1,573.38 and 586.08

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Solution

The fourth proportional to 1,048.50, 1,573.38 and 586.08 is: 879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.50 : 1,573.38 = 586.08 : x
  2. Step 2: Convert to fraction form
    1,048.50/1,573.38 = 586.08/x
  3. Step 3: Cross multiply
    1,048.50x = 1,573.38 × 586.08
  4. Step 4: Simplify right side
    1,048.50x = 922,126.55
  5. Step 5: Solve for x
    x = 922,126.55/1,048.50
  6. Step 6: Final answer
    x = 879.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.