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Finding the Fourth Proportional to 1,312.14, 1,968.51 and 581.92

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Solution

The fourth proportional to 1,312.14, 1,968.51 and 581.92 is: 873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.14 : 1,968.51 = 581.92 : x
  2. Step 2: Convert to fraction form
    1,312.14/1,968.51 = 581.92/x
  3. Step 3: Cross multiply
    1,312.14x = 1,968.51 × 581.92
  4. Step 4: Simplify right side
    1,312.14x = 1,145,515.34
  5. Step 5: Solve for x
    x = 1,145,515.34/1,312.14
  6. Step 6: Final answer
    x = 873.01

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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.