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Finding the Fourth Proportional to 1,055.71, 1,457.18 and 706.38

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Solution

The fourth proportional to 1,055.71, 1,457.18 and 706.38 is: 975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.71 : 1,457.18 = 706.38 : x
  2. Step 2: Convert to fraction form
    1,055.71/1,457.18 = 706.38/x
  3. Step 3: Cross multiply
    1,055.71x = 1,457.18 × 706.38
  4. Step 4: Simplify right side
    1,055.71x = 1,029,322.81
  5. Step 5: Solve for x
    x = 1,029,322.81/1,055.71
  6. Step 6: Final answer
    x = 975.01

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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.