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Finding the Fourth Proportional to 1,045.70, 1,569.63 and 783.13

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Solution

The fourth proportional to 1,045.70, 1,569.63 and 783.13 is: 1,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.70 : 1,569.63 = 783.13 : x
  2. Step 2: Convert to fraction form
    1,045.70/1,569.63 = 783.13/x
  3. Step 3: Cross multiply
    1,045.70x = 1,569.63 × 783.13
  4. Step 4: Simplify right side
    1,045.70x = 1,229,224.34
  5. Step 5: Solve for x
    x = 1,229,224.34/1,045.70
  6. Step 6: Final answer
    x = 1,175.50

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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.