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Finding the Fourth Proportional to 1,032.30, 1,547.55 and 666

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Solution

The fourth proportional to 1,032.30, 1,547.55 and 666 is: 998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.30 : 1,547.55 = 666 : x
  2. Step 2: Convert to fraction form
    1,032.30/1,547.55 = 666/x
  3. Step 3: Cross multiply
    1,032.30x = 1,547.55 × 666
  4. Step 4: Simplify right side
    1,032.30x = 1,030,668.30
  5. Step 5: Solve for x
    x = 1,030,668.30/1,032.30
  6. Step 6: Final answer
    x = 998.42

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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.