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Finding the Fourth Proportional to 1,032.12, 1,547.64 and 484.14

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Solution

The fourth proportional to 1,032.12, 1,547.64 and 484.14 is: 725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.12 : 1,547.64 = 484.14 : x
  2. Step 2: Convert to fraction form
    1,032.12/1,547.64 = 484.14/x
  3. Step 3: Cross multiply
    1,032.12x = 1,547.64 × 484.14
  4. Step 4: Simplify right side
    1,032.12x = 749,274.43
  5. Step 5: Solve for x
    x = 749,274.43/1,032.12
  6. Step 6: Final answer
    x = 725.96

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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.