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Finding the Fourth Proportional to 1,048.10, 1,570.86 and 462.47

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Solution

The fourth proportional to 1,048.10, 1,570.86 and 462.47 is: 693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.10 : 1,570.86 = 462.47 : x
  2. Step 2: Convert to fraction form
    1,048.10/1,570.86 = 462.47/x
  3. Step 3: Cross multiply
    1,048.10x = 1,570.86 × 462.47
  4. Step 4: Simplify right side
    1,048.10x = 726,467.77
  5. Step 5: Solve for x
    x = 726,467.77/1,048.10
  6. Step 6: Final answer
    x = 693.13

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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.