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Finding the Fourth Proportional to 714.82, 986.16 and 528.75

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Solution

The fourth proportional to 714.82, 986.16 and 528.75 is: 729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.82 : 986.16 = 528.75 : x
  2. Step 2: Convert to fraction form
    714.82/986.16 = 528.75/x
  3. Step 3: Cross multiply
    714.82x = 986.16 × 528.75
  4. Step 4: Simplify right side
    714.82x = 521,437.78
  5. Step 5: Solve for x
    x = 521,437.78/714.82
  6. Step 6: Final answer
    x = 729.47

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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.