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Finding the Fourth Proportional to 1,006.75, 1,510.80 and 429.76

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Solution

The fourth proportional to 1,006.75, 1,510.80 and 429.76 is: 644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.75 : 1,510.80 = 429.76 : x
  2. Step 2: Convert to fraction form
    1,006.75/1,510.80 = 429.76/x
  3. Step 3: Cross multiply
    1,006.75x = 1,510.80 × 429.76
  4. Step 4: Simplify right side
    1,006.75x = 649,281.41
  5. Step 5: Solve for x
    x = 649,281.41/1,006.75
  6. Step 6: Final answer
    x = 644.93

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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.