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Finding the Fourth Proportional to 1,265.60, 1,895.04 and 1,006.40

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Solution

The fourth proportional to 1,265.60, 1,895.04 and 1,006.40 is: 1,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.60 : 1,895.04 = 1,006.40 : x
  2. Step 2: Convert to fraction form
    1,265.60/1,895.04 = 1,006.40/x
  3. Step 3: Cross multiply
    1,265.60x = 1,895.04 × 1,006.40
  4. Step 4: Simplify right side
    1,265.60x = 1,907,168.26
  5. Step 5: Solve for x
    x = 1,907,168.26/1,265.60
  6. Step 6: Final answer
    x = 1,506.93

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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.