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Finding the Fourth Proportional to 1,062.40, 1,464.48 and 689.32

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Solution

The fourth proportional to 1,062.40, 1,464.48 and 689.32 is: 950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.40 : 1,464.48 = 689.32 : x
  2. Step 2: Convert to fraction form
    1,062.40/1,464.48 = 689.32/x
  3. Step 3: Cross multiply
    1,062.40x = 1,464.48 × 689.32
  4. Step 4: Simplify right side
    1,062.40x = 1,009,495.35
  5. Step 5: Solve for x
    x = 1,009,495.35/1,062.40
  6. Step 6: Final answer
    x = 950.20

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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.