Home / 1,370.18-2,056.08-712.10

Finding the Fourth Proportional to 1,370.18, 2,056.08 and 712.10

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Solution

The fourth proportional to 1,370.18, 2,056.08 and 712.10 is: 1,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.18 : 2,056.08 = 712.10 : x
  2. Step 2: Convert to fraction form
    1,370.18/2,056.08 = 712.10/x
  3. Step 3: Cross multiply
    1,370.18x = 2,056.08 × 712.10
  4. Step 4: Simplify right side
    1,370.18x = 1,464,134.57
  5. Step 5: Solve for x
    x = 1,464,134.57/1,370.18
  6. Step 6: Final answer
    x = 1,068.57

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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.