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Finding the Fourth Proportional to 1,045.67, 1,567.64 and 460.25

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Solution

The fourth proportional to 1,045.67, 1,567.64 and 460.25 is: 689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.67 : 1,567.64 = 460.25 : x
  2. Step 2: Convert to fraction form
    1,045.67/1,567.64 = 460.25/x
  3. Step 3: Cross multiply
    1,045.67x = 1,567.64 × 460.25
  4. Step 4: Simplify right side
    1,045.67x = 721,496.17
  5. Step 5: Solve for x
    x = 721,496.17/1,045.67
  6. Step 6: Final answer
    x = 689.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.