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Finding the Fourth Proportional to 775.76, 1,070.76 and 500.24

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Solution

The fourth proportional to 775.76, 1,070.76 and 500.24 is: 690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.76 : 1,070.76 = 500.24 : x
  2. Step 2: Convert to fraction form
    775.76/1,070.76 = 500.24/x
  3. Step 3: Cross multiply
    775.76x = 1,070.76 × 500.24
  4. Step 4: Simplify right side
    775.76x = 535,636.98
  5. Step 5: Solve for x
    x = 535,636.98/775.76
  6. Step 6: Final answer
    x = 690.47

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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.