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Finding the Fourth Proportional to 1,070.15, 1,476.83 and 591.58

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Solution

The fourth proportional to 1,070.15, 1,476.83 and 591.58 is: 816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.15 : 1,476.83 = 591.58 : x
  2. Step 2: Convert to fraction form
    1,070.15/1,476.83 = 591.58/x
  3. Step 3: Cross multiply
    1,070.15x = 1,476.83 × 591.58
  4. Step 4: Simplify right side
    1,070.15x = 873,656.44
  5. Step 5: Solve for x
    x = 873,656.44/1,070.15
  6. Step 6: Final answer
    x = 816.38

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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.