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Finding the Fourth Proportional to 1,123.83, 1,685.25 and 507.51

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Solution

The fourth proportional to 1,123.83, 1,685.25 and 507.51 is: 761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.83 : 1,685.25 = 507.51 : x
  2. Step 2: Convert to fraction form
    1,123.83/1,685.25 = 507.51/x
  3. Step 3: Cross multiply
    1,123.83x = 1,685.25 × 507.51
  4. Step 4: Simplify right side
    1,123.83x = 855,281.23
  5. Step 5: Solve for x
    x = 855,281.23/1,123.83
  6. Step 6: Final answer
    x = 761.04

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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.