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Finding the Fourth Proportional to 1,006.71, 1,510.35 and 421.53

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Solution

The fourth proportional to 1,006.71, 1,510.35 and 421.53 is: 632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.71 : 1,510.35 = 421.53 : x
  2. Step 2: Convert to fraction form
    1,006.71/1,510.35 = 421.53/x
  3. Step 3: Cross multiply
    1,006.71x = 1,510.35 × 421.53
  4. Step 4: Simplify right side
    1,006.71x = 636,657.84
  5. Step 5: Solve for x
    x = 636,657.84/1,006.71
  6. Step 6: Final answer
    x = 632.41

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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.