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Finding the Fourth Proportional to 775.60, 1,070.16 and 465.04

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Solution

The fourth proportional to 775.60, 1,070.16 and 465.04 is: 641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.60 : 1,070.16 = 465.04 : x
  2. Step 2: Convert to fraction form
    775.60/1,070.16 = 465.04/x
  3. Step 3: Cross multiply
    775.60x = 1,070.16 × 465.04
  4. Step 4: Simplify right side
    775.60x = 497,667.21
  5. Step 5: Solve for x
    x = 497,667.21/775.60
  6. Step 6: Final answer
    x = 641.65

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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.