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Finding the Fourth Proportional to 1,045.45, 1,567.47 and 460.45

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Solution

The fourth proportional to 1,045.45, 1,567.47 and 460.45 is: 690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.45 : 1,567.47 = 460.45 : x
  2. Step 2: Convert to fraction form
    1,045.45/1,567.47 = 460.45/x
  3. Step 3: Cross multiply
    1,045.45x = 1,567.47 × 460.45
  4. Step 4: Simplify right side
    1,045.45x = 721,741.56
  5. Step 5: Solve for x
    x = 721,741.56/1,045.45
  6. Step 6: Final answer
    x = 690.36

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1.5x scale

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.