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Finding the Fourth Proportional to 776.60, 1,164.56 and 483.66

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Solution

The fourth proportional to 776.60, 1,164.56 and 483.66 is: 725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.60 : 1,164.56 = 483.66 : x
  2. Step 2: Convert to fraction form
    776.60/1,164.56 = 483.66/x
  3. Step 3: Cross multiply
    776.60x = 1,164.56 × 483.66
  4. Step 4: Simplify right side
    776.60x = 563,248.67
  5. Step 5: Solve for x
    x = 563,248.67/776.60
  6. Step 6: Final answer
    x = 725.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.