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Finding the Fourth Proportional to 1,312.49, 1,968.86 and 435

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Solution

The fourth proportional to 1,312.49, 1,968.86 and 435 is: 652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.49 : 1,968.86 = 435 : x
  2. Step 2: Convert to fraction form
    1,312.49/1,968.86 = 435/x
  3. Step 3: Cross multiply
    1,312.49x = 1,968.86 × 435
  4. Step 4: Simplify right side
    1,312.49x = 856,454.10
  5. Step 5: Solve for x
    x = 856,454.10/1,312.49
  6. Step 6: Final answer
    x = 652.54

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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.