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Finding the Fourth Proportional to 1,247.59, 1,721.64 and 688.05

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Solution

The fourth proportional to 1,247.59, 1,721.64 and 688.05 is: 949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.59 : 1,721.64 = 688.05 : x
  2. Step 2: Convert to fraction form
    1,247.59/1,721.64 = 688.05/x
  3. Step 3: Cross multiply
    1,247.59x = 1,721.64 × 688.05
  4. Step 4: Simplify right side
    1,247.59x = 1,184,574.40
  5. Step 5: Solve for x
    x = 1,184,574.40/1,247.59
  6. Step 6: Final answer
    x = 949.49

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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.