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Finding the Fourth Proportional to 1,099.95, 1,648.95 and 710.25

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Solution

The fourth proportional to 1,099.95, 1,648.95 and 710.25 is: 1,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.95 : 1,648.95 = 710.25 : x
  2. Step 2: Convert to fraction form
    1,099.95/1,648.95 = 710.25/x
  3. Step 3: Cross multiply
    1,099.95x = 1,648.95 × 710.25
  4. Step 4: Simplify right side
    1,099.95x = 1,171,166.74
  5. Step 5: Solve for x
    x = 1,171,166.74/1,099.95
  6. Step 6: Final answer
    x = 1,064.75

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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.