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Finding the Fourth Proportional to 1,045.60, 1,442.69 and 626.02

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Solution

The fourth proportional to 1,045.60, 1,442.69 and 626.02 is: 863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.60 : 1,442.69 = 626.02 : x
  2. Step 2: Convert to fraction form
    1,045.60/1,442.69 = 626.02/x
  3. Step 3: Cross multiply
    1,045.60x = 1,442.69 × 626.02
  4. Step 4: Simplify right side
    1,045.60x = 903,152.79
  5. Step 5: Solve for x
    x = 903,152.79/1,045.60
  6. Step 6: Final answer
    x = 863.77

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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.