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Finding the Fourth Proportional to 948.07, 1,307.47 and 649.75

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Solution

The fourth proportional to 948.07, 1,307.47 and 649.75 is: 896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.07 : 1,307.47 = 649.75 : x
  2. Step 2: Convert to fraction form
    948.07/1,307.47 = 649.75/x
  3. Step 3: Cross multiply
    948.07x = 1,307.47 × 649.75
  4. Step 4: Simplify right side
    948.07x = 849,525.37
  5. Step 5: Solve for x
    x = 849,525.37/948.07
  6. Step 6: Final answer
    x = 896.06

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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.