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Finding the Fourth Proportional to 1,335.16, 2,002.76 and 457.68

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Solution

The fourth proportional to 1,335.16, 2,002.76 and 457.68 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.16 : 2,002.76 = 457.68 : x
  2. Step 2: Convert to fraction form
    1,335.16/2,002.76 = 457.68/x
  3. Step 3: Cross multiply
    1,335.16x = 2,002.76 × 457.68
  4. Step 4: Simplify right side
    1,335.16x = 916,623.20
  5. Step 5: Solve for x
    x = 916,623.20/1,335.16
  6. Step 6: Final answer
    x = 686.53

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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.