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Finding the Fourth Proportional to 908.40, 1,253.64 and 510.20

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Solution

The fourth proportional to 908.40, 1,253.64 and 510.20 is: 704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.40 : 1,253.64 = 510.20 : x
  2. Step 2: Convert to fraction form
    908.40/1,253.64 = 510.20/x
  3. Step 3: Cross multiply
    908.40x = 1,253.64 × 510.20
  4. Step 4: Simplify right side
    908.40x = 639,600.86
  5. Step 5: Solve for x
    x = 639,600.86/908.40
  6. Step 6: Final answer
    x = 704.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.