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Finding the Fourth Proportional to 1,045.31, 1,567.86 and 314.99

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Solution

The fourth proportional to 1,045.31, 1,567.86 and 314.99 is: 472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.31 : 1,567.86 = 314.99 : x
  2. Step 2: Convert to fraction form
    1,045.31/1,567.86 = 314.99/x
  3. Step 3: Cross multiply
    1,045.31x = 1,567.86 × 314.99
  4. Step 4: Simplify right side
    1,045.31x = 493,857.08
  5. Step 5: Solve for x
    x = 493,857.08/1,045.31
  6. Step 6: Final answer
    x = 472.45

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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.