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Finding the Fourth Proportional to 1,312.91, 1,810.44 and 980.81

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Solution

The fourth proportional to 1,312.91, 1,810.44 and 980.81 is: 1,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.91 : 1,810.44 = 980.81 : x
  2. Step 2: Convert to fraction form
    1,312.91/1,810.44 = 980.81/x
  3. Step 3: Cross multiply
    1,312.91x = 1,810.44 × 980.81
  4. Step 4: Simplify right side
    1,312.91x = 1,775,697.66
  5. Step 5: Solve for x
    x = 1,775,697.66/1,312.91
  6. Step 6: Final answer
    x = 1,352.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.