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Finding the Fourth Proportional to 1,416.95, 1,952.66 and 944.31

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Solution

The fourth proportional to 1,416.95, 1,952.66 and 944.31 is: 1,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.95 : 1,952.66 = 944.31 : x
  2. Step 2: Convert to fraction form
    1,416.95/1,952.66 = 944.31/x
  3. Step 3: Cross multiply
    1,416.95x = 1,952.66 × 944.31
  4. Step 4: Simplify right side
    1,416.95x = 1,843,916.36
  5. Step 5: Solve for x
    x = 1,843,916.36/1,416.95
  6. Step 6: Final answer
    x = 1,301.33

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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.