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Finding the Fourth Proportional to 1,265.54, 1,746.38 and 705.98

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Solution

The fourth proportional to 1,265.54, 1,746.38 and 705.98 is: 974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.54 : 1,746.38 = 705.98 : x
  2. Step 2: Convert to fraction form
    1,265.54/1,746.38 = 705.98/x
  3. Step 3: Cross multiply
    1,265.54x = 1,746.38 × 705.98
  4. Step 4: Simplify right side
    1,265.54x = 1,232,909.35
  5. Step 5: Solve for x
    x = 1,232,909.35/1,265.54
  6. Step 6: Final answer
    x = 974.22

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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.