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Finding the Fourth Proportional to 1,064.64, 1,594.50 and 848.34

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Solution

The fourth proportional to 1,064.64, 1,594.50 and 848.34 is: 1,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.64 : 1,594.50 = 848.34 : x
  2. Step 2: Convert to fraction form
    1,064.64/1,594.50 = 848.34/x
  3. Step 3: Cross multiply
    1,064.64x = 1,594.50 × 848.34
  4. Step 4: Simplify right side
    1,064.64x = 1,352,678.13
  5. Step 5: Solve for x
    x = 1,352,678.13/1,064.64
  6. Step 6: Final answer
    x = 1,270.55

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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.