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Finding the Fourth Proportional to 1,603.42, 2,405.16 and 507.76

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Solution

The fourth proportional to 1,603.42, 2,405.16 and 507.76 is: 761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.42 : 2,405.16 = 507.76 : x
  2. Step 2: Convert to fraction form
    1,603.42/2,405.16 = 507.76/x
  3. Step 3: Cross multiply
    1,603.42x = 2,405.16 × 507.76
  4. Step 4: Simplify right side
    1,603.42x = 1,221,244.04
  5. Step 5: Solve for x
    x = 1,221,244.04/1,603.42
  6. Step 6: Final answer
    x = 761.65

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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.