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Finding the Fourth Proportional to 880.30, 1,307.43 and 864.10

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Solution

The fourth proportional to 880.30, 1,307.43 and 864.10 is: 1,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.30 : 1,307.43 = 864.10 : x
  2. Step 2: Convert to fraction form
    880.30/1,307.43 = 864.10/x
  3. Step 3: Cross multiply
    880.30x = 1,307.43 × 864.10
  4. Step 4: Simplify right side
    880.30x = 1,129,750.26
  5. Step 5: Solve for x
    x = 1,129,750.26/880.30
  6. Step 6: Final answer
    x = 1,283.37

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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.