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Finding the Fourth Proportional to 1,008.88, 1,510.08 and 659.40

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Solution

The fourth proportional to 1,008.88, 1,510.08 and 659.40 is: 986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.88 : 1,510.08 = 659.40 : x
  2. Step 2: Convert to fraction form
    1,008.88/1,510.08 = 659.40/x
  3. Step 3: Cross multiply
    1,008.88x = 1,510.08 × 659.40
  4. Step 4: Simplify right side
    1,008.88x = 995,746.75
  5. Step 5: Solve for x
    x = 995,746.75/1,008.88
  6. Step 6: Final answer
    x = 986.98

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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.