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Finding the Fourth Proportional to 782.76, 1,082.57 and 684.35

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Solution

The fourth proportional to 782.76, 1,082.57 and 684.35 is: 946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.76 : 1,082.57 = 684.35 : x
  2. Step 2: Convert to fraction form
    782.76/1,082.57 = 684.35/x
  3. Step 3: Cross multiply
    782.76x = 1,082.57 × 684.35
  4. Step 4: Simplify right side
    782.76x = 740,852.00
  5. Step 5: Solve for x
    x = 740,852.00/782.76
  6. Step 6: Final answer
    x = 946.46

Related Problems

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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.