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Finding the Fourth Proportional to 1,053.65, 1,580.46 and 468.51

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Solution

The fourth proportional to 1,053.65, 1,580.46 and 468.51 is: 702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.65 : 1,580.46 = 468.51 : x
  2. Step 2: Convert to fraction form
    1,053.65/1,580.46 = 468.51/x
  3. Step 3: Cross multiply
    1,053.65x = 1,580.46 × 468.51
  4. Step 4: Simplify right side
    1,053.65x = 740,461.31
  5. Step 5: Solve for x
    x = 740,461.31/1,053.65
  6. Step 6: Final answer
    x = 702.76

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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.