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Finding the Fourth Proportional to 1,574.47, 2,359.98 and 649.53

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Solution

The fourth proportional to 1,574.47, 2,359.98 and 649.53 is: 973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.47 : 2,359.98 = 649.53 : x
  2. Step 2: Convert to fraction form
    1,574.47/2,359.98 = 649.53/x
  3. Step 3: Cross multiply
    1,574.47x = 2,359.98 × 649.53
  4. Step 4: Simplify right side
    1,574.47x = 1,532,869.35
  5. Step 5: Solve for x
    x = 1,532,869.35/1,574.47
  6. Step 6: Final answer
    x = 973.58

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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.