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Finding the Fourth Proportional to 1,354.83, 2,032.53 and 430.53

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Solution

The fourth proportional to 1,354.83, 2,032.53 and 430.53 is: 645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.83 : 2,032.53 = 430.53 : x
  2. Step 2: Convert to fraction form
    1,354.83/2,032.53 = 430.53/x
  3. Step 3: Cross multiply
    1,354.83x = 2,032.53 × 430.53
  4. Step 4: Simplify right side
    1,354.83x = 875,065.14
  5. Step 5: Solve for x
    x = 875,065.14/1,354.83
  6. Step 6: Final answer
    x = 645.89

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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.