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Finding the Fourth Proportional to 1,045.07, 1,442.16 and 602.97

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Solution

The fourth proportional to 1,045.07, 1,442.16 and 602.97 is: 832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.07 : 1,442.16 = 602.97 : x
  2. Step 2: Convert to fraction form
    1,045.07/1,442.16 = 602.97/x
  3. Step 3: Cross multiply
    1,045.07x = 1,442.16 × 602.97
  4. Step 4: Simplify right side
    1,045.07x = 869,579.22
  5. Step 5: Solve for x
    x = 869,579.22/1,045.07
  6. Step 6: Final answer
    x = 832.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.