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Finding the Fourth Proportional to 864.07, 1,294.75 and 538.95

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Solution

The fourth proportional to 864.07, 1,294.75 and 538.95 is: 807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.07 : 1,294.75 = 538.95 : x
  2. Step 2: Convert to fraction form
    864.07/1,294.75 = 538.95/x
  3. Step 3: Cross multiply
    864.07x = 1,294.75 × 538.95
  4. Step 4: Simplify right side
    864.07x = 697,802.82
  5. Step 5: Solve for x
    x = 697,802.82/864.07
  6. Step 6: Final answer
    x = 807.58

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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.