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Finding the Fourth Proportional to 1,045.10, 1,567.65 and 613.10

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Solution

The fourth proportional to 1,045.10, 1,567.65 and 613.10 is: 919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.10 : 1,567.65 = 613.10 : x
  2. Step 2: Convert to fraction form
    1,045.10/1,567.65 = 613.10/x
  3. Step 3: Cross multiply
    1,045.10x = 1,567.65 × 613.10
  4. Step 4: Simplify right side
    1,045.10x = 961,126.22
  5. Step 5: Solve for x
    x = 961,126.22/1,045.10
  6. Step 6: Final answer
    x = 919.65

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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.