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Finding the Fourth Proportional to 1,133.62, 1,565.64 and 762.10

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Solution

The fourth proportional to 1,133.62, 1,565.64 and 762.10 is: 1,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.62 : 1,565.64 = 762.10 : x
  2. Step 2: Convert to fraction form
    1,133.62/1,565.64 = 762.10/x
  3. Step 3: Cross multiply
    1,133.62x = 1,565.64 × 762.10
  4. Step 4: Simplify right side
    1,133.62x = 1,193,174.24
  5. Step 5: Solve for x
    x = 1,193,174.24/1,133.62
  6. Step 6: Final answer
    x = 1,052.53

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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.