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Finding the Fourth Proportional to 1,265.30, 1,746.09 and 705.72

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Solution

The fourth proportional to 1,265.30, 1,746.09 and 705.72 is: 973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.30 : 1,746.09 = 705.72 : x
  2. Step 2: Convert to fraction form
    1,265.30/1,746.09 = 705.72/x
  3. Step 3: Cross multiply
    1,265.30x = 1,746.09 × 705.72
  4. Step 4: Simplify right side
    1,265.30x = 1,232,250.63
  5. Step 5: Solve for x
    x = 1,232,250.63/1,265.30
  6. Step 6: Final answer
    x = 973.88

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1.5x scale

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.