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Finding the Fourth Proportional to 1,307.64, 1,802.45 and 1,056.14

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Solution

The fourth proportional to 1,307.64, 1,802.45 and 1,056.14 is: 1,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,802.45 = 1,056.14 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,802.45 = 1,056.14/x
  3. Step 3: Cross multiply
    1,307.64x = 1,802.45 × 1,056.14
  4. Step 4: Simplify right side
    1,307.64x = 1,903,639.93
  5. Step 5: Solve for x
    x = 1,903,639.93/1,307.64
  6. Step 6: Final answer
    x = 1,455.78

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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.