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Finding the Fourth Proportional to 1,066.48, 1,592.42 and 847.60

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Solution

The fourth proportional to 1,066.48, 1,592.42 and 847.60 is: 1,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.48 : 1,592.42 = 847.60 : x
  2. Step 2: Convert to fraction form
    1,066.48/1,592.42 = 847.60/x
  3. Step 3: Cross multiply
    1,066.48x = 1,592.42 × 847.60
  4. Step 4: Simplify right side
    1,066.48x = 1,349,735.19
  5. Step 5: Solve for x
    x = 1,349,735.19/1,066.48
  6. Step 6: Final answer
    x = 1,265.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.