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Finding the Fourth Proportional to 1,265.23, 1,746.02 and 705.71

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Solution

The fourth proportional to 1,265.23, 1,746.02 and 705.71 is: 973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.23 : 1,746.02 = 705.71 : x
  2. Step 2: Convert to fraction form
    1,265.23/1,746.02 = 705.71/x
  3. Step 3: Cross multiply
    1,265.23x = 1,746.02 × 705.71
  4. Step 4: Simplify right side
    1,265.23x = 1,232,181.17
  5. Step 5: Solve for x
    x = 1,232,181.17/1,265.23
  6. Step 6: Final answer
    x = 973.88

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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.