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Finding the Fourth Proportional to 1,410.64, 2,114.18 and 716.26

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Solution

The fourth proportional to 1,410.64, 2,114.18 and 716.26 is: 1,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.64 : 2,114.18 = 716.26 : x
  2. Step 2: Convert to fraction form
    1,410.64/2,114.18 = 716.26/x
  3. Step 3: Cross multiply
    1,410.64x = 2,114.18 × 716.26
  4. Step 4: Simplify right side
    1,410.64x = 1,514,302.57
  5. Step 5: Solve for x
    x = 1,514,302.57/1,410.64
  6. Step 6: Final answer
    x = 1,073.49

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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.