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Finding the Fourth Proportional to 1,142.04, 1,712.70 and 564.84

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Solution

The fourth proportional to 1,142.04, 1,712.70 and 564.84 is: 847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.04 : 1,712.70 = 564.84 : x
  2. Step 2: Convert to fraction form
    1,142.04/1,712.70 = 564.84/x
  3. Step 3: Cross multiply
    1,142.04x = 1,712.70 × 564.84
  4. Step 4: Simplify right side
    1,142.04x = 967,401.47
  5. Step 5: Solve for x
    x = 967,401.47/1,142.04
  6. Step 6: Final answer
    x = 847.08

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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.