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Finding the Fourth Proportional to 1,472.51, 2,032.22 and 883.10

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Solution

The fourth proportional to 1,472.51, 2,032.22 and 883.10 is: 1,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.51 : 2,032.22 = 883.10 : x
  2. Step 2: Convert to fraction form
    1,472.51/2,032.22 = 883.10/x
  3. Step 3: Cross multiply
    1,472.51x = 2,032.22 × 883.10
  4. Step 4: Simplify right side
    1,472.51x = 1,794,653.48
  5. Step 5: Solve for x
    x = 1,794,653.48/1,472.51
  6. Step 6: Final answer
    x = 1,218.77

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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.