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Finding the Fourth Proportional to 1,032.05, 1,547.51 and 415.43

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Solution

The fourth proportional to 1,032.05, 1,547.51 and 415.43 is: 622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.05 : 1,547.51 = 415.43 : x
  2. Step 2: Convert to fraction form
    1,032.05/1,547.51 = 415.43/x
  3. Step 3: Cross multiply
    1,032.05x = 1,547.51 × 415.43
  4. Step 4: Simplify right side
    1,032.05x = 642,883.87
  5. Step 5: Solve for x
    x = 642,883.87/1,032.05
  6. Step 6: Final answer
    x = 622.92

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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.