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Finding the Fourth Proportional to 1,045.86, 1,569.51 and 533.22

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Solution

The fourth proportional to 1,045.86, 1,569.51 and 533.22 is: 800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.86 : 1,569.51 = 533.22 : x
  2. Step 2: Convert to fraction form
    1,045.86/1,569.51 = 533.22/x
  3. Step 3: Cross multiply
    1,045.86x = 1,569.51 × 533.22
  4. Step 4: Simplify right side
    1,045.86x = 836,894.12
  5. Step 5: Solve for x
    x = 836,894.12/1,045.86
  6. Step 6: Final answer
    x = 800.20

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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.