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Finding the Fourth Proportional to 1,145.24, 1,580.47 and 647.93

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Solution

The fourth proportional to 1,145.24, 1,580.47 and 647.93 is: 894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.24 : 1,580.47 = 647.93 : x
  2. Step 2: Convert to fraction form
    1,145.24/1,580.47 = 647.93/x
  3. Step 3: Cross multiply
    1,145.24x = 1,580.47 × 647.93
  4. Step 4: Simplify right side
    1,145.24x = 1,024,036.26
  5. Step 5: Solve for x
    x = 1,024,036.26/1,145.24
  6. Step 6: Final answer
    x = 894.17

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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.