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Finding the Fourth Proportional to 1,307.56, 1,957.68 and 959.80

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Solution

The fourth proportional to 1,307.56, 1,957.68 and 959.80 is: 1,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.56 : 1,957.68 = 959.80 : x
  2. Step 2: Convert to fraction form
    1,307.56/1,957.68 = 959.80/x
  3. Step 3: Cross multiply
    1,307.56x = 1,957.68 × 959.80
  4. Step 4: Simplify right side
    1,307.56x = 1,878,981.26
  5. Step 5: Solve for x
    x = 1,878,981.26/1,307.56
  6. Step 6: Final answer
    x = 1,437.01

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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.