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Finding the Fourth Proportional to 1,472.74, 2,207.74 and 741.46

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Solution

The fourth proportional to 1,472.74, 2,207.74 and 741.46 is: 1,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.74 : 2,207.74 = 741.46 : x
  2. Step 2: Convert to fraction form
    1,472.74/2,207.74 = 741.46/x
  3. Step 3: Cross multiply
    1,472.74x = 2,207.74 × 741.46
  4. Step 4: Simplify right side
    1,472.74x = 1,636,955.27
  5. Step 5: Solve for x
    x = 1,636,955.27/1,472.74
  6. Step 6: Final answer
    x = 1,111.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.