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Finding the Fourth Proportional to 1,045.04, 1,442.07 and 652.05

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Solution

The fourth proportional to 1,045.04, 1,442.07 and 652.05 is: 899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.04 : 1,442.07 = 652.05 : x
  2. Step 2: Convert to fraction form
    1,045.04/1,442.07 = 652.05/x
  3. Step 3: Cross multiply
    1,045.04x = 1,442.07 × 652.05
  4. Step 4: Simplify right side
    1,045.04x = 940,301.74
  5. Step 5: Solve for x
    x = 940,301.74/1,045.04
  6. Step 6: Final answer
    x = 899.78

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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.