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Finding the Fourth Proportional to 1,006.85, 1,510.65 and 390.59

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Solution

The fourth proportional to 1,006.85, 1,510.65 and 390.59 is: 586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.85 : 1,510.65 = 390.59 : x
  2. Step 2: Convert to fraction form
    1,006.85/1,510.65 = 390.59/x
  3. Step 3: Cross multiply
    1,006.85x = 1,510.65 × 390.59
  4. Step 4: Simplify right side
    1,006.85x = 590,044.78
  5. Step 5: Solve for x
    x = 590,044.78/1,006.85
  6. Step 6: Final answer
    x = 586.03

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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.