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Finding the Fourth Proportional to 1,434.51, 1,979.73 and 837.18

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Solution

The fourth proportional to 1,434.51, 1,979.73 and 837.18 is: 1,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.51 : 1,979.73 = 837.18 : x
  2. Step 2: Convert to fraction form
    1,434.51/1,979.73 = 837.18/x
  3. Step 3: Cross multiply
    1,434.51x = 1,979.73 × 837.18
  4. Step 4: Simplify right side
    1,434.51x = 1,657,390.36
  5. Step 5: Solve for x
    x = 1,657,390.36/1,434.51
  6. Step 6: Final answer
    x = 1,155.37

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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.