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Finding the Fourth Proportional to 1,465.63, 2,197.53 and 588.09

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Solution

The fourth proportional to 1,465.63, 2,197.53 and 588.09 is: 881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.63 : 2,197.53 = 588.09 : x
  2. Step 2: Convert to fraction form
    1,465.63/2,197.53 = 588.09/x
  3. Step 3: Cross multiply
    1,465.63x = 2,197.53 × 588.09
  4. Step 4: Simplify right side
    1,465.63x = 1,292,353.66
  5. Step 5: Solve for x
    x = 1,292,353.66/1,465.63
  6. Step 6: Final answer
    x = 881.77

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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.