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Finding the Fourth Proportional to 848.91, 1,271.50 and 438.45

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Solution

The fourth proportional to 848.91, 1,271.50 and 438.45 is: 656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.91 : 1,271.50 = 438.45 : x
  2. Step 2: Convert to fraction form
    848.91/1,271.50 = 438.45/x
  3. Step 3: Cross multiply
    848.91x = 1,271.50 × 438.45
  4. Step 4: Simplify right side
    848.91x = 557,483.31
  5. Step 5: Solve for x
    x = 557,483.31/848.91
  6. Step 6: Final answer
    x = 656.70

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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.