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Finding the Fourth Proportional to 1,552.47, 2,328.93 and 565.35

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Solution

The fourth proportional to 1,552.47, 2,328.93 and 565.35 is: 848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.47 : 2,328.93 = 565.35 : x
  2. Step 2: Convert to fraction form
    1,552.47/2,328.93 = 565.35/x
  3. Step 3: Cross multiply
    1,552.47x = 2,328.93 × 565.35
  4. Step 4: Simplify right side
    1,552.47x = 1,316,660.58
  5. Step 5: Solve for x
    x = 1,316,660.58/1,552.47
  6. Step 6: Final answer
    x = 848.11

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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.