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Finding the Fourth Proportional to 1,146.56, 1,582.54 and 705.11

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Solution

The fourth proportional to 1,146.56, 1,582.54 and 705.11 is: 973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.56 : 1,582.54 = 705.11 : x
  2. Step 2: Convert to fraction form
    1,146.56/1,582.54 = 705.11/x
  3. Step 3: Cross multiply
    1,146.56x = 1,582.54 × 705.11
  4. Step 4: Simplify right side
    1,146.56x = 1,115,855.10
  5. Step 5: Solve for x
    x = 1,115,855.10/1,146.56
  6. Step 6: Final answer
    x = 973.22

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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.