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Finding the Fourth Proportional to 1,107.70, 1,528.35 and 714.25

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Solution

The fourth proportional to 1,107.70, 1,528.35 and 714.25 is: 985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.70 : 1,528.35 = 714.25 : x
  2. Step 2: Convert to fraction form
    1,107.70/1,528.35 = 714.25/x
  3. Step 3: Cross multiply
    1,107.70x = 1,528.35 × 714.25
  4. Step 4: Simplify right side
    1,107.70x = 1,091,623.99
  5. Step 5: Solve for x
    x = 1,091,623.99/1,107.70
  6. Step 6: Final answer
    x = 985.49

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Half scale
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Double scale
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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.