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Finding the Fourth Proportional to 1,135.51, 1,567.41 and 804.13

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Solution

The fourth proportional to 1,135.51, 1,567.41 and 804.13 is: 1,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.51 : 1,567.41 = 804.13 : x
  2. Step 2: Convert to fraction form
    1,135.51/1,567.41 = 804.13/x
  3. Step 3: Cross multiply
    1,135.51x = 1,567.41 × 804.13
  4. Step 4: Simplify right side
    1,135.51x = 1,260,401.40
  5. Step 5: Solve for x
    x = 1,260,401.40/1,135.51
  6. Step 6: Final answer
    x = 1,109.99

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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.