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Finding the Fourth Proportional to 775.64, 1,070.35 and 554.96

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Solution

The fourth proportional to 775.64, 1,070.35 and 554.96 is: 765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.64 : 1,070.35 = 554.96 : x
  2. Step 2: Convert to fraction form
    775.64/1,070.35 = 554.96/x
  3. Step 3: Cross multiply
    775.64x = 1,070.35 × 554.96
  4. Step 4: Simplify right side
    775.64x = 594,002.72
  5. Step 5: Solve for x
    x = 594,002.72/775.64
  6. Step 6: Final answer
    x = 765.82

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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.