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Finding the Fourth Proportional to 1,142.56, 1,712.64 and 594.16

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Solution

The fourth proportional to 1,142.56, 1,712.64 and 594.16 is: 890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.56 : 1,712.64 = 594.16 : x
  2. Step 2: Convert to fraction form
    1,142.56/1,712.64 = 594.16/x
  3. Step 3: Cross multiply
    1,142.56x = 1,712.64 × 594.16
  4. Step 4: Simplify right side
    1,142.56x = 1,017,582.18
  5. Step 5: Solve for x
    x = 1,017,582.18/1,142.56
  6. Step 6: Final answer
    x = 890.62

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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.