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Finding the Fourth Proportional to 1,405.35, 2,105.88 and 710.08

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Solution

The fourth proportional to 1,405.35, 2,105.88 and 710.08 is: 1,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.35 : 2,105.88 = 710.08 : x
  2. Step 2: Convert to fraction form
    1,405.35/2,105.88 = 710.08/x
  3. Step 3: Cross multiply
    1,405.35x = 2,105.88 × 710.08
  4. Step 4: Simplify right side
    1,405.35x = 1,495,339.72
  5. Step 5: Solve for x
    x = 1,495,339.72/1,405.35
  6. Step 6: Final answer
    x = 1,064.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.