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Finding the Fourth Proportional to 1,135.74, 1,567.59 and 721.50

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Solution

The fourth proportional to 1,135.74, 1,567.59 and 721.50 is: 995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.74 : 1,567.59 = 721.50 : x
  2. Step 2: Convert to fraction form
    1,135.74/1,567.59 = 721.50/x
  3. Step 3: Cross multiply
    1,135.74x = 1,567.59 × 721.50
  4. Step 4: Simplify right side
    1,135.74x = 1,131,016.19
  5. Step 5: Solve for x
    x = 1,131,016.19/1,135.74
  6. Step 6: Final answer
    x = 995.84

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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.