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Finding the Fourth Proportional to 1,045.64, 1,443.09 and 652.70

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Solution

The fourth proportional to 1,045.64, 1,443.09 and 652.70 is: 900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.64 : 1,443.09 = 652.70 : x
  2. Step 2: Convert to fraction form
    1,045.64/1,443.09 = 652.70/x
  3. Step 3: Cross multiply
    1,045.64x = 1,443.09 × 652.70
  4. Step 4: Simplify right side
    1,045.64x = 941,897.63
  5. Step 5: Solve for x
    x = 941,897.63/1,045.64
  6. Step 6: Final answer
    x = 900.79

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