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Finding the Fourth Proportional to 1,312.08, 1,969.32 and 619.14

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Solution

The fourth proportional to 1,312.08, 1,969.32 and 619.14 is: 929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.08 : 1,969.32 = 619.14 : x
  2. Step 2: Convert to fraction form
    1,312.08/1,969.32 = 619.14/x
  3. Step 3: Cross multiply
    1,312.08x = 1,969.32 × 619.14
  4. Step 4: Simplify right side
    1,312.08x = 1,219,284.78
  5. Step 5: Solve for x
    x = 1,219,284.78/1,312.08
  6. Step 6: Final answer
    x = 929.28

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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.