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Finding the Fourth Proportional to 1,564.40, 2,345.64 and 538.48

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Solution

The fourth proportional to 1,564.40, 2,345.64 and 538.48 is: 807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.40 : 2,345.64 = 538.48 : x
  2. Step 2: Convert to fraction form
    1,564.40/2,345.64 = 538.48/x
  3. Step 3: Cross multiply
    1,564.40x = 2,345.64 × 538.48
  4. Step 4: Simplify right side
    1,564.40x = 1,263,080.23
  5. Step 5: Solve for x
    x = 1,263,080.23/1,564.40
  6. Step 6: Final answer
    x = 807.39

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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.