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Finding the Fourth Proportional to 1,770.65, 2,655.98 and 538.07

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Solution

The fourth proportional to 1,770.65, 2,655.98 and 538.07 is: 807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.65 : 2,655.98 = 538.07 : x
  2. Step 2: Convert to fraction form
    1,770.65/2,655.98 = 538.07/x
  3. Step 3: Cross multiply
    1,770.65x = 2,655.98 × 538.07
  4. Step 4: Simplify right side
    1,770.65x = 1,429,089.21
  5. Step 5: Solve for x
    x = 1,429,089.21/1,770.65
  6. Step 6: Final answer
    x = 807.10

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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.