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Finding the Fourth Proportional to 1,265.63, 1,746.46 and 705.92

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Solution

The fourth proportional to 1,265.63, 1,746.46 and 705.92 is: 974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.63 : 1,746.46 = 705.92 : x
  2. Step 2: Convert to fraction form
    1,265.63/1,746.46 = 705.92/x
  3. Step 3: Cross multiply
    1,265.63x = 1,746.46 × 705.92
  4. Step 4: Simplify right side
    1,265.63x = 1,232,853.19
  5. Step 5: Solve for x
    x = 1,232,853.19/1,265.63
  6. Step 6: Final answer
    x = 974.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.