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Finding the Fourth Proportional to 1,342.71, 1,852.96 and 753.23

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Solution

The fourth proportional to 1,342.71, 1,852.96 and 753.23 is: 1,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.71 : 1,852.96 = 753.23 : x
  2. Step 2: Convert to fraction form
    1,342.71/1,852.96 = 753.23/x
  3. Step 3: Cross multiply
    1,342.71x = 1,852.96 × 753.23
  4. Step 4: Simplify right side
    1,342.71x = 1,395,707.81
  5. Step 5: Solve for x
    x = 1,395,707.81/1,342.71
  6. Step 6: Final answer
    x = 1,039.47

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Double scale
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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.