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Finding the Fourth Proportional to 1,048.50, 1,572.75 and 431.76

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Solution

The fourth proportional to 1,048.50, 1,572.75 and 431.76 is: 647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.50 : 1,572.75 = 431.76 : x
  2. Step 2: Convert to fraction form
    1,048.50/1,572.75 = 431.76/x
  3. Step 3: Cross multiply
    1,048.50x = 1,572.75 × 431.76
  4. Step 4: Simplify right side
    1,048.50x = 679,050.54
  5. Step 5: Solve for x
    x = 679,050.54/1,048.50
  6. Step 6: Final answer
    x = 647.64

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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.