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Finding the Fourth Proportional to 1,113.51, 1,670.12 and 497.07

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Solution

The fourth proportional to 1,113.51, 1,670.12 and 497.07 is: 745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.51 : 1,670.12 = 497.07 : x
  2. Step 2: Convert to fraction form
    1,113.51/1,670.12 = 497.07/x
  3. Step 3: Cross multiply
    1,113.51x = 1,670.12 × 497.07
  4. Step 4: Simplify right side
    1,113.51x = 830,166.55
  5. Step 5: Solve for x
    x = 830,166.55/1,113.51
  6. Step 6: Final answer
    x = 745.54

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Double scale
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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.