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Finding the Fourth Proportional to 1,045.10, 1,442.14 and 603.15

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Solution

The fourth proportional to 1,045.10, 1,442.14 and 603.15 is: 832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.10 : 1,442.14 = 603.15 : x
  2. Step 2: Convert to fraction form
    1,045.10/1,442.14 = 603.15/x
  3. Step 3: Cross multiply
    1,045.10x = 1,442.14 × 603.15
  4. Step 4: Simplify right side
    1,045.10x = 869,819.83
  5. Step 5: Solve for x
    x = 869,819.83/1,045.10
  6. Step 6: Final answer
    x = 832.28

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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.