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Finding the Fourth Proportional to 895.78, 1,345.02 and 714.61

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Solution

The fourth proportional to 895.78, 1,345.02 and 714.61 is: 1,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.78 : 1,345.02 = 714.61 : x
  2. Step 2: Convert to fraction form
    895.78/1,345.02 = 714.61/x
  3. Step 3: Cross multiply
    895.78x = 1,345.02 × 714.61
  4. Step 4: Simplify right side
    895.78x = 961,164.74
  5. Step 5: Solve for x
    x = 961,164.74/895.78
  6. Step 6: Final answer
    x = 1,072.99

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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.