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Finding the Fourth Proportional to 1,294.68, 1,942.01 and 564.10

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Solution

The fourth proportional to 1,294.68, 1,942.01 and 564.10 is: 846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.68 : 1,942.01 = 564.10 : x
  2. Step 2: Convert to fraction form
    1,294.68/1,942.01 = 564.10/x
  3. Step 3: Cross multiply
    1,294.68x = 1,942.01 × 564.10
  4. Step 4: Simplify right side
    1,294.68x = 1,095,482.28
  5. Step 5: Solve for x
    x = 1,095,482.28/1,294.68
  6. Step 6: Final answer
    x = 846.14

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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.