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Finding the Fourth Proportional to 1,032.69, 1,549.08 and 302.16

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Solution

The fourth proportional to 1,032.69, 1,549.08 and 302.16 is: 453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.69 : 1,549.08 = 302.16 : x
  2. Step 2: Convert to fraction form
    1,032.69/1,549.08 = 302.16/x
  3. Step 3: Cross multiply
    1,032.69x = 1,549.08 × 302.16
  4. Step 4: Simplify right side
    1,032.69x = 468,070.01
  5. Step 5: Solve for x
    x = 468,070.01/1,032.69
  6. Step 6: Final answer
    x = 453.25

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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.