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Finding the Fourth Proportional to 688.13, 1,030.76 and 303.65

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Solution

The fourth proportional to 688.13, 1,030.76 and 303.65 is: 454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.13 : 1,030.76 = 303.65 : x
  2. Step 2: Convert to fraction form
    688.13/1,030.76 = 303.65/x
  3. Step 3: Cross multiply
    688.13x = 1,030.76 × 303.65
  4. Step 4: Simplify right side
    688.13x = 312,988.76
  5. Step 5: Solve for x
    x = 312,988.76/688.13
  6. Step 6: Final answer
    x = 454.84

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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.