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Finding the Fourth Proportional to 1,547.47, 2,319.71 and 506.76

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Solution

The fourth proportional to 1,547.47, 2,319.71 and 506.76 is: 759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.47 : 2,319.71 = 506.76 : x
  2. Step 2: Convert to fraction form
    1,547.47/2,319.71 = 506.76/x
  3. Step 3: Cross multiply
    1,547.47x = 2,319.71 × 506.76
  4. Step 4: Simplify right side
    1,547.47x = 1,175,525.01
  5. Step 5: Solve for x
    x = 1,175,525.01/1,547.47
  6. Step 6: Final answer
    x = 759.64

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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.