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Finding the Fourth Proportional to 1,035.84, 1,552.80 and 458.40

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Solution

The fourth proportional to 1,035.84, 1,552.80 and 458.40 is: 687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.84 : 1,552.80 = 458.40 : x
  2. Step 2: Convert to fraction form
    1,035.84/1,552.80 = 458.40/x
  3. Step 3: Cross multiply
    1,035.84x = 1,552.80 × 458.40
  4. Step 4: Simplify right side
    1,035.84x = 711,803.52
  5. Step 5: Solve for x
    x = 711,803.52/1,035.84
  6. Step 6: Final answer
    x = 687.18

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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.