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Finding the Fourth Proportional to 1,032.42, 1,549.08 and 417.33

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Solution

The fourth proportional to 1,032.42, 1,549.08 and 417.33 is: 626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.42 : 1,549.08 = 417.33 : x
  2. Step 2: Convert to fraction form
    1,032.42/1,549.08 = 417.33/x
  3. Step 3: Cross multiply
    1,032.42x = 1,549.08 × 417.33
  4. Step 4: Simplify right side
    1,032.42x = 646,473.31
  5. Step 5: Solve for x
    x = 646,473.31/1,032.42
  6. Step 6: Final answer
    x = 626.17

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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.