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Finding the Fourth Proportional to 1,460.71, 2,189.11 and 719.19

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Solution

The fourth proportional to 1,460.71, 2,189.11 and 719.19 is: 1,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.71 : 2,189.11 = 719.19 : x
  2. Step 2: Convert to fraction form
    1,460.71/2,189.11 = 719.19/x
  3. Step 3: Cross multiply
    1,460.71x = 2,189.11 × 719.19
  4. Step 4: Simplify right side
    1,460.71x = 1,574,386.02
  5. Step 5: Solve for x
    x = 1,574,386.02/1,460.71
  6. Step 6: Final answer
    x = 1,077.82

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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.