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Finding the Fourth Proportional to 1,045.71, 1,442.84 and 625.90

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Solution

The fourth proportional to 1,045.71, 1,442.84 and 625.90 is: 863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.71 : 1,442.84 = 625.90 : x
  2. Step 2: Convert to fraction form
    1,045.71/1,442.84 = 625.90/x
  3. Step 3: Cross multiply
    1,045.71x = 1,442.84 × 625.90
  4. Step 4: Simplify right side
    1,045.71x = 903,075.34
  5. Step 5: Solve for x
    x = 903,075.34/1,045.71
  6. Step 6: Final answer
    x = 863.60

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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.