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Finding the Fourth Proportional to 1,056.25, 1,457.67 and 706.87

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Solution

The fourth proportional to 1,056.25, 1,457.67 and 706.87 is: 975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.25 : 1,457.67 = 706.87 : x
  2. Step 2: Convert to fraction form
    1,056.25/1,457.67 = 706.87/x
  3. Step 3: Cross multiply
    1,056.25x = 1,457.67 × 706.87
  4. Step 4: Simplify right side
    1,056.25x = 1,030,383.19
  5. Step 5: Solve for x
    x = 1,030,383.19/1,056.25
  6. Step 6: Final answer
    x = 975.51

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Why These Related Problems?

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