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Finding the Fourth Proportional to 897.90, 1,340.80 and 846.64

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Solution

The fourth proportional to 897.90, 1,340.80 and 846.64 is: 1,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.90 : 1,340.80 = 846.64 : x
  2. Step 2: Convert to fraction form
    897.90/1,340.80 = 846.64/x
  3. Step 3: Cross multiply
    897.90x = 1,340.80 × 846.64
  4. Step 4: Simplify right side
    897.90x = 1,135,174.91
  5. Step 5: Solve for x
    x = 1,135,174.91/897.90
  6. Step 6: Final answer
    x = 1,264.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.