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Finding the Fourth Proportional to 775.64, 1,070.76 and 514.08

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Solution

The fourth proportional to 775.64, 1,070.76 and 514.08 is: 709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.64 : 1,070.76 = 514.08 : x
  2. Step 2: Convert to fraction form
    775.64/1,070.76 = 514.08/x
  3. Step 3: Cross multiply
    775.64x = 1,070.76 × 514.08
  4. Step 4: Simplify right side
    775.64x = 550,456.30
  5. Step 5: Solve for x
    x = 550,456.30/775.64
  6. Step 6: Final answer
    x = 709.68

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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.