Home / 1,312.10-1,968.14-338.20

Finding the Fourth Proportional to 1,312.10, 1,968.14 and 338.20

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Solution

The fourth proportional to 1,312.10, 1,968.14 and 338.20 is: 507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.10 : 1,968.14 = 338.20 : x
  2. Step 2: Convert to fraction form
    1,312.10/1,968.14 = 338.20/x
  3. Step 3: Cross multiply
    1,312.10x = 1,968.14 × 338.20
  4. Step 4: Simplify right side
    1,312.10x = 665,615.11
  5. Step 5: Solve for x
    x = 665,615.11/1,312.10
  6. Step 6: Final answer
    x = 507.29

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Double scale
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1.5x scale

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.