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Finding the Fourth Proportional to 1,394.78, 1,925.08 and 805.24

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Solution

The fourth proportional to 1,394.78, 1,925.08 and 805.24 is: 1,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.78 : 1,925.08 = 805.24 : x
  2. Step 2: Convert to fraction form
    1,394.78/1,925.08 = 805.24/x
  3. Step 3: Cross multiply
    1,394.78x = 1,925.08 × 805.24
  4. Step 4: Simplify right side
    1,394.78x = 1,550,141.79
  5. Step 5: Solve for x
    x = 1,550,141.79/1,394.78
  6. Step 6: Final answer
    x = 1,111.39

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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.