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Finding the Fourth Proportional to 1,045.74, 1,566.84 and 583.25

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Solution

The fourth proportional to 1,045.74, 1,566.84 and 583.25 is: 873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.74 : 1,566.84 = 583.25 : x
  2. Step 2: Convert to fraction form
    1,045.74/1,566.84 = 583.25/x
  3. Step 3: Cross multiply
    1,045.74x = 1,566.84 × 583.25
  4. Step 4: Simplify right side
    1,045.74x = 913,862.60
  5. Step 5: Solve for x
    x = 913,862.60/1,045.74
  6. Step 6: Final answer
    x = 873.89

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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.