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Finding the Fourth Proportional to 1,357.65, 2,036.72 and 468.14

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Solution

The fourth proportional to 1,357.65, 2,036.72 and 468.14 is: 702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.65 : 2,036.72 = 468.14 : x
  2. Step 2: Convert to fraction form
    1,357.65/2,036.72 = 468.14/x
  3. Step 3: Cross multiply
    1,357.65x = 2,036.72 × 468.14
  4. Step 4: Simplify right side
    1,357.65x = 953,461.09
  5. Step 5: Solve for x
    x = 953,461.09/1,357.65
  6. Step 6: Final answer
    x = 702.29

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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.