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Finding the Fourth Proportional to 907.47, 1,252.53 and 643.14

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Solution

The fourth proportional to 907.47, 1,252.53 and 643.14 is: 887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.47 : 1,252.53 = 643.14 : x
  2. Step 2: Convert to fraction form
    907.47/1,252.53 = 643.14/x
  3. Step 3: Cross multiply
    907.47x = 1,252.53 × 643.14
  4. Step 4: Simplify right side
    907.47x = 805,552.14
  5. Step 5: Solve for x
    x = 805,552.14/907.47
  6. Step 6: Final answer
    x = 887.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.