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Finding the Fourth Proportional to 1,465.16, 2,196.18 and 527.48

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Solution

The fourth proportional to 1,465.16, 2,196.18 and 527.48 is: 790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.16 : 2,196.18 = 527.48 : x
  2. Step 2: Convert to fraction form
    1,465.16/2,196.18 = 527.48/x
  3. Step 3: Cross multiply
    1,465.16x = 2,196.18 × 527.48
  4. Step 4: Simplify right side
    1,465.16x = 1,158,430.05
  5. Step 5: Solve for x
    x = 1,158,430.05/1,465.16
  6. Step 6: Final answer
    x = 790.65

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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.