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Finding the Fourth Proportional to 1,316.84, 1,970.41 and 1,056.06

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Solution

The fourth proportional to 1,316.84, 1,970.41 and 1,056.06 is: 1,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.84 : 1,970.41 = 1,056.06 : x
  2. Step 2: Convert to fraction form
    1,316.84/1,970.41 = 1,056.06/x
  3. Step 3: Cross multiply
    1,316.84x = 1,970.41 × 1,056.06
  4. Step 4: Simplify right side
    1,316.84x = 2,080,871.18
  5. Step 5: Solve for x
    x = 2,080,871.18/1,316.84
  6. Step 6: Final answer
    x = 1,580.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.