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Finding the Fourth Proportional to 1,207.02, 1,810.53 and 718.59

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Solution

The fourth proportional to 1,207.02, 1,810.53 and 718.59 is: 1,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.02 : 1,810.53 = 718.59 : x
  2. Step 2: Convert to fraction form
    1,207.02/1,810.53 = 718.59/x
  3. Step 3: Cross multiply
    1,207.02x = 1,810.53 × 718.59
  4. Step 4: Simplify right side
    1,207.02x = 1,301,028.75
  5. Step 5: Solve for x
    x = 1,301,028.75/1,207.02
  6. Step 6: Final answer
    x = 1,077.89

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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.