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Finding the Fourth Proportional to 1,262.50, 1,742.20 and 703.06

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Solution

The fourth proportional to 1,262.50, 1,742.20 and 703.06 is: 970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.50 : 1,742.20 = 703.06 : x
  2. Step 2: Convert to fraction form
    1,262.50/1,742.20 = 703.06/x
  3. Step 3: Cross multiply
    1,262.50x = 1,742.20 × 703.06
  4. Step 4: Simplify right side
    1,262.50x = 1,224,871.13
  5. Step 5: Solve for x
    x = 1,224,871.13/1,262.50
  6. Step 6: Final answer
    x = 970.19

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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.