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Finding the Fourth Proportional to 1,048.74, 1,572.91 and 318.50

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Solution

The fourth proportional to 1,048.74, 1,572.91 and 318.50 is: 477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.74 : 1,572.91 = 318.50 : x
  2. Step 2: Convert to fraction form
    1,048.74/1,572.91 = 318.50/x
  3. Step 3: Cross multiply
    1,048.74x = 1,572.91 × 318.50
  4. Step 4: Simplify right side
    1,048.74x = 500,971.84
  5. Step 5: Solve for x
    x = 500,971.84/1,048.74
  6. Step 6: Final answer
    x = 477.69

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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.