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Finding the Fourth Proportional to 1,032.25, 1,547.97 and 415.84

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Solution

The fourth proportional to 1,032.25, 1,547.97 and 415.84 is: 623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.25 : 1,547.97 = 415.84 : x
  2. Step 2: Convert to fraction form
    1,032.25/1,547.97 = 415.84/x
  3. Step 3: Cross multiply
    1,032.25x = 1,547.97 × 415.84
  4. Step 4: Simplify right side
    1,032.25x = 643,713.27
  5. Step 5: Solve for x
    x = 643,713.27/1,032.25
  6. Step 6: Final answer
    x = 623.60

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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.