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Finding the Fourth Proportional to 1,064.00, 1,595.99 and 730.11

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Solution

The fourth proportional to 1,064.00, 1,595.99 and 730.11 is: 1,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.00 : 1,595.99 = 730.11 : x
  2. Step 2: Convert to fraction form
    1,064.00/1,595.99 = 730.11/x
  3. Step 3: Cross multiply
    1,064.00x = 1,595.99 × 730.11
  4. Step 4: Simplify right side
    1,064.00x = 1,165,244.61
  5. Step 5: Solve for x
    x = 1,165,244.61/1,064.00
  6. Step 6: Final answer
    x = 1,095.16

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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.