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Finding the Fourth Proportional to 1,045.74, 1,441.92 and 714.36

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Solution

The fourth proportional to 1,045.74, 1,441.92 and 714.36 is: 985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.74 : 1,441.92 = 714.36 : x
  2. Step 2: Convert to fraction form
    1,045.74/1,441.92 = 714.36/x
  3. Step 3: Cross multiply
    1,045.74x = 1,441.92 × 714.36
  4. Step 4: Simplify right side
    1,045.74x = 1,030,049.97
  5. Step 5: Solve for x
    x = 1,030,049.97/1,045.74
  6. Step 6: Final answer
    x = 985.00

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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.