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Finding the Fourth Proportional to 1,456.52, 2,008.93 and 924.95

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Solution

The fourth proportional to 1,456.52, 2,008.93 and 924.95 is: 1,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.52 : 2,008.93 = 924.95 : x
  2. Step 2: Convert to fraction form
    1,456.52/2,008.93 = 924.95/x
  3. Step 3: Cross multiply
    1,456.52x = 2,008.93 × 924.95
  4. Step 4: Simplify right side
    1,456.52x = 1,858,145.13
  5. Step 5: Solve for x
    x = 1,858,145.13/1,456.52
  6. Step 6: Final answer
    x = 1,275.74

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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.