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Finding the Fourth Proportional to 775.52, 1,070.24 and 495.76

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Solution

The fourth proportional to 775.52, 1,070.24 and 495.76 is: 684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.52 : 1,070.24 = 495.76 : x
  2. Step 2: Convert to fraction form
    775.52/1,070.24 = 495.76/x
  3. Step 3: Cross multiply
    775.52x = 1,070.24 × 495.76
  4. Step 4: Simplify right side
    775.52x = 530,582.18
  5. Step 5: Solve for x
    x = 530,582.18/775.52
  6. Step 6: Final answer
    x = 684.16

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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.