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Finding the Fourth Proportional to 1,045.65, 1,566.68 and 496.65

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Solution

The fourth proportional to 1,045.65, 1,566.68 and 496.65 is: 744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.65 : 1,566.68 = 496.65 : x
  2. Step 2: Convert to fraction form
    1,045.65/1,566.68 = 496.65/x
  3. Step 3: Cross multiply
    1,045.65x = 1,566.68 × 496.65
  4. Step 4: Simplify right side
    1,045.65x = 778,089.14
  5. Step 5: Solve for x
    x = 778,089.14/1,045.65
  6. Step 6: Final answer
    x = 744.12

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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.