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Finding the Fourth Proportional to 1,107.78, 1,528.47 and 714.74

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Solution

The fourth proportional to 1,107.78, 1,528.47 and 714.74 is: 986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.78 : 1,528.47 = 714.74 : x
  2. Step 2: Convert to fraction form
    1,107.78/1,528.47 = 714.74/x
  3. Step 3: Cross multiply
    1,107.78x = 1,528.47 × 714.74
  4. Step 4: Simplify right side
    1,107.78x = 1,092,451.01
  5. Step 5: Solve for x
    x = 1,092,451.01/1,107.78
  6. Step 6: Final answer
    x = 986.16

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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.