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Finding the Fourth Proportional to 1,048.55, 1,573.01 and 431.91

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Solution

The fourth proportional to 1,048.55, 1,573.01 and 431.91 is: 647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.55 : 1,573.01 = 431.91 : x
  2. Step 2: Convert to fraction form
    1,048.55/1,573.01 = 431.91/x
  3. Step 3: Cross multiply
    1,048.55x = 1,573.01 × 431.91
  4. Step 4: Simplify right side
    1,048.55x = 679,403.59
  5. Step 5: Solve for x
    x = 679,403.59/1,048.55
  6. Step 6: Final answer
    x = 647.95

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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.