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Finding the Fourth Proportional to 1,045.53, 1,567.76 and 460.28

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Solution

The fourth proportional to 1,045.53, 1,567.76 and 460.28 is: 690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.53 : 1,567.76 = 460.28 : x
  2. Step 2: Convert to fraction form
    1,045.53/1,567.76 = 460.28/x
  3. Step 3: Cross multiply
    1,045.53x = 1,567.76 × 460.28
  4. Step 4: Simplify right side
    1,045.53x = 721,614.07
  5. Step 5: Solve for x
    x = 721,614.07/1,045.53
  6. Step 6: Final answer
    x = 690.19

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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.