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Finding the Fourth Proportional to 1,043.12, 1,564.91 and 302.74

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Solution

The fourth proportional to 1,043.12, 1,564.91 and 302.74 is: 454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.12 : 1,564.91 = 302.74 : x
  2. Step 2: Convert to fraction form
    1,043.12/1,564.91 = 302.74/x
  3. Step 3: Cross multiply
    1,043.12x = 1,564.91 × 302.74
  4. Step 4: Simplify right side
    1,043.12x = 473,762.84
  5. Step 5: Solve for x
    x = 473,762.84/1,043.12
  6. Step 6: Final answer
    x = 454.18

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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.