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Finding the Fourth Proportional to 1,039.60, 1,434.64 and 567.48

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Solution

The fourth proportional to 1,039.60, 1,434.64 and 567.48 is: 783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.60 : 1,434.64 = 567.48 : x
  2. Step 2: Convert to fraction form
    1,039.60/1,434.64 = 567.48/x
  3. Step 3: Cross multiply
    1,039.60x = 1,434.64 × 567.48
  4. Step 4: Simplify right side
    1,039.60x = 814,129.51
  5. Step 5: Solve for x
    x = 814,129.51/1,039.60
  6. Step 6: Final answer
    x = 783.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.