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Finding the Fourth Proportional to 1,054.32, 1,456.02 and 921.36

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Solution

The fourth proportional to 1,054.32, 1,456.02 and 921.36 is: 1,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.32 : 1,456.02 = 921.36 : x
  2. Step 2: Convert to fraction form
    1,054.32/1,456.02 = 921.36/x
  3. Step 3: Cross multiply
    1,054.32x = 1,456.02 × 921.36
  4. Step 4: Simplify right side
    1,054.32x = 1,341,518.59
  5. Step 5: Solve for x
    x = 1,341,518.59/1,054.32
  6. Step 6: Final answer
    x = 1,272.40

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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.