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Finding the Fourth Proportional to 1,103.76, 1,656.04 and 334.26

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Solution

The fourth proportional to 1,103.76, 1,656.04 and 334.26 is: 501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.76 : 1,656.04 = 334.26 : x
  2. Step 2: Convert to fraction form
    1,103.76/1,656.04 = 334.26/x
  3. Step 3: Cross multiply
    1,103.76x = 1,656.04 × 334.26
  4. Step 4: Simplify right side
    1,103.76x = 553,547.93
  5. Step 5: Solve for x
    x = 553,547.93/1,103.76
  6. Step 6: Final answer
    x = 501.51

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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.