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Finding the Fourth Proportional to 1,465.19, 2,197.25 and 587.89

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Solution

The fourth proportional to 1,465.19, 2,197.25 and 587.89 is: 881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.19 : 2,197.25 = 587.89 : x
  2. Step 2: Convert to fraction form
    1,465.19/2,197.25 = 587.89/x
  3. Step 3: Cross multiply
    1,465.19x = 2,197.25 × 587.89
  4. Step 4: Simplify right side
    1,465.19x = 1,291,741.30
  5. Step 5: Solve for x
    x = 1,291,741.30/1,465.19
  6. Step 6: Final answer
    x = 881.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.